AnswersFL-1205010-MJ Grade 6 Mathematics B -GFRelating Relationships Shown in Tables to Equations

Relating Relationships Shown in Tables to Equations — Unit test Answers

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1
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A prism has a volume of 238 cubic millimeters. Which is the correct substitution for finding the length of the prism?

Question illustration
A
V = l w h. 238 = l + 8 and one-half + 3 and one-half
Option A
B
V = l w h. V = 238 times 8 and one-half times 3 and one-half
Option B
C
V = l w h. l times 8 and one-half times 3 and one-half
Option C
D
V = l w h. 238 = l times 8 and one-half times 3 and one-half
Option D
2
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Which is the correct calculation for the volume of the prism?

Question illustration
A
cm3
Option A
B
cm3
Option B
C
cm3
Option C
D
cm3
Option D
3

A rectangular prism has a length of 7.5 m, a height of 5 m, and a volume of 225 m3. Which steps are correct to find the width of the prism? Check all that apply.

Question illustration
A
Substitute the known values into the volume formula.
Option A
B
Substitute the known values into the volume formula.
Option B
C
The width of the prism is 6 m.
D
The width of the prism is 5.5 m.
E
Divide to find the width.
Option E
F
Divide to find the width.
Option F
4

A prism has a volume of 405 cubic inches. Which is the correct substitution for finding the height of the prism?

Question illustration
A
V = l w h. 405 = 15 + 4.5 + h.
Option A
B
V = l w h = 15 times 4.5 times 405
Option B
C
V = l w h = 15 times 4.5 times 15
Option C
D
V = l w h. 405 = 15 times 4.5 times h
Option D
5

A square storage unit has a volume of 607.5 ft3. The height of the unit is 7.5 ft. What are the length and width of the storage unit?

A
length of 1 ft; width of 81 ft
B
length of 2 ft; width of 40.5 ft
C
length of 3 ft; width of 27 ft
D
length of 9 ft; width of 9 ft
6

The base of this pyramid is a rectangle. How many congruent faces does this pyramid have?

Question illustration
A
The pyramid has 4 congruent faces.
B
The pyramid has 5 congruent faces.
C
The pyramid has 1 pair of congruent faces.
D
The pyramid has 2 pairs of congruent faces.
7

Soon-Yi’s house has a hexagonal window made up of six identical equilateral triangles as pictured below.Which expression is equivalent to the area of one triangular section?

Question illustration
A
One-half times 7 times 8
Option A
B
One-half times 14 times 16
Option B
C
One-sixth times 14 times 16
Option C
D
One-half times 7 times 7
Option D
8

Jillian plans a pillow pattern before sewing. The parallelogram in the center of the pattern has a base length of 9 inches and a height of 7 inches. She needs to find the area of the fabric surrounding the parallelogram pattern. Which statements below should she apply when solving this problem? Check all that apply.

Question illustration
A
The parallelogram has a base length of 16 inches and a height of 8 inches.
B
The area of the parallelogram is .
Option B
C
The total area of the block is 128 square inches.
D
The area surrounding the parallelograms can be found by adding 63 to 128.
E
The area surrounding the parallelogram can be found by subtracting 63 from 128.
9

Lou’s board games are all on a shelf with a length of 30 inches, a width of 12 inches, and a height of 14 inches. If his games take up half of the shelf, which expressions show how to calculate the volume of the space that the games are taking up? Check all that apply.

A
(30 + 12 + 14)
Option A
B
30 + 12 + 14
C
15(6)(7)
D
(30)(12)(14)
Option D
E
30(14)(12)
F
15(12)(14)
G
15(6)(7)
H
(360)(14)
Option H
10

Sal is trying to determine how much fabric he will need to create the kite diagrammed below..Which expressions can he use to find the total area of the kite? Check all that apply.[Hint: A kite can be divided into two triangles by drawing a line between the top and bottom points.You can find the area of each triangle using the formula:Area = Then, add the two triangle areas together to find the total area of the kite.]

Question illustration
A
40 times 108
Option A
B
73 times 115
Option B
C
40 times 33 + 40 times 75
Option C
D
40 times 170
Option D
E
80 times 108
Option E
11

A trapezoid was broken into two congruent triangles and a rectangle.What is the base length, b, of one of the triangles?

Question illustration
A
3 cm
B
4 cm
C
6 cm
D
7 cm
12

How many one-half cubes are needed to fill the gap in the prism?

Question illustration
A
2
B
4
C
6
D
8
13

What is always true about the net of a prism?

A
It contains 0 triangles.
B
It contains 0 or 2 triangles.
C
It contains 3 or more triangles.
D
It contains 4 or more triangles.
14

Layla is determining the area of the trapezoid. Her work is shown below. Step 1: Break the figure into rectangles and triangles. Step 2: Find the area of the rectangle: .Step 3: Find the area of the triangle: .Step 4: Add the areas together: square feet.Which best describes Layla’s error?

Question illustration
A
The height of the triangle in Step 1 should be 4 ft.
B
The area of the triangle in Step 3 should be .
Option B
C
The area of the triangle is Step 3 should be halved because there is only one triangle.
D
The areas in Step 4 should be multiplied instead of added.
15

Carson wants to install wallpaper on the wall in his bedroom with the shape and dimensions shown below. To determine the area of the wall, he divides it into a triangle and a rectangle. What are the dimensions of the triangle?

Question illustration
A
11 ft by 12 ft
B
3 ft by 12 ft
C
3 ft by 11 ft
D
12 ft by 14 ft
16

Jonah will cover a cube in wrapping paper. Each edge of the cube is 2.5 cm long. What is the least amount of wrapping paper he needs to cover the cube?

A
15.625 square centimeters
B
25 square centimeters
C
37.5 square centimeters
D
42.25 square centimeters
17

What is the surface area of a cube with a side length of 5 inches?

A
25 square inches
B
100 square inches
C
125 square inches
D
150 square inches
18

What is the total surface area of the square pyramid?

Question illustration
A
48 square meters
B
64 square meters
C
76 square meters
D
88 square meters
19

The Saxena family plans to install a light to illuminate part of their rectangular yard. Nikki and Dylan each proposed a different spot to place the light. The proposed placements and the lit area that each produces are shown below.How do Nikki’s and Dylan’s proposals compare? Check all that apply.

Question illustration
A
Nikki’s proposed placement will light a greater area than Dylan’s placement.
B
Dylan’s proposed placement will light a greater area than Nikki’s placement.
C
Both proposed placements will light the same sized area.
D
Nikki’s proposed placement will light more than half the yard.
E
Dylan’s proposed placement will light more than half the yard.
F
Dylan’s proposed placement will light exactly half of the yard.
G
Nikki’s proposed placement will light less than half of the yard.
20

Marissa claims that stacking 6 blocks with dimensions of will give the same volume as stacking 9 blocks with dimensions of . Which statements about her claim are true? Check all that apply.

Question illustration
A
Six of the one-half cubes would have a volume of 3 cubic units.
B
Nine of the one-third cubes would have a volume of 6 cubic units.
C
Since and do not have common factors, stacks of one-half cubes and stacks of third-cubes could never have the same volume.
Option C
D
Three of the one-third cubes will make 1 unit cube.
E
Two of the one-half cubes will make 1 unit cube.
F
Both stacks will have a volume of 3 cubic units.

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