Solving for Dimensions Using Area and Volume

A square pyramid is shown below. If the height of this pyramid is 7.5 meters, what is the volume of the pyramid in cubic meters?

• 202.5

• 303.75

• 270

• 243

Ms. Johnson is attempting to solve for volume of a triangular pyramid. She uses the equation V=⅓ (42 × 42)+ 62 to solve for volume. Pick TWO answers that explain what Ms. Johnson did incorrectly.

• Did not incorporate ½ when solving for area of the base

• Used 42 as the height of the base

• Used 42 as the width of the base

• Added 62 instead of multiplying 62

Ms. Hernandez is solving for the volume of a triangular pyramid. The Base of the pyramid is 8 inches wide and 2 inches tall. The height of the Prism is 10 inches. Drag and drop values to complete the equation.

b

c

⅓

8

10

½

4

Mr. Williams is trying to solve for the volume of a rectangular pyramid. The base of the pyramid is 13 inches wide and 4 inches tall. The height of the pyramid is 5 inches. Drag and drop values to complete the equation.

b

d

⅓

½

4

13

5

A toymaker wants to build a fun box with a volume of 16 cubic feet. What could the dimensions be?

• 2 x 3 x 4

• 2 x 2 x 2

• 2 x 4 x 2

Quinton wants to build a toy box with a volume of 16 cubic feet. What could the dimensions be?

• 2 x 3 x 4

• 2 x 2 x 2

• 2 x 4 x 2

• 8 x 8 x 1

A structure has a volume of 36 cubic feet. The height is 3 feet. What could be the length of width of the structure?

• 12 x 1

• 2 x 9

• 4 x 4

• 4 x 3

• 6 x 2

Question 15

• 96 cubic inches

• 84 cubic inches

• 864 cubic inches

• 432 cubic inches

The dimensions of a rectangular pyramid are shown. What is the volume of this pyramid in cubic feet?

• 96

• 18

• 64

• 192

Ms. Blancarte is attempting to solve for volume of a rectangular pyramid. She uses the equation V=(½ × 5 × 4)6 to solve for volume. Pick TWO answers that explain what Ms. Blancarte did incorrectly.

• Using the wrong dimensions for the base

• The base does not need to be multiplied by ½

• The dimensions need to be multiplied by ⅓ because it's a pyramid

• 6 did not need to be used in the equation