Volume of Prisms and Pyramids

A cereal box is in the shape of a rectangular prism. It has a height of 12 cm.  The area of the base is 7 cm².  What is the volume?

Answer explanation

To find the volume of a rectangular prism, use the formula: Volume = Base Area × Height. Here, the base area is 7 cm² and the height is 12 cm. Thus, Volume = 7 cm² × 12 cm = 84 cm³, which is the correct answer.

Tags

7.9A

Find the volume of the figure. Round to the nearest whole number.

• 1,944 cm³

• 108 cm³

• 972 cm³

• 216 cm³

Answer explanation

To find the volume, use the formula for the specific shape involved. After calculations, the volume rounds to 972 cm³, which matches the correct answer choice.

Tags

7.9A

Find the volume of this rectangular prism.

• 55 yd³

• 121 yd³

• 22 yd³

• 330 yd³

Answer explanation

To find the volume of a rectangular prism, multiply its length, width, and height. If the dimensions are 11 yd, 5 yd, and 6 yd, then the volume is 11 x 5 x 6 = 330 yd³, making 330 yd³ the correct answer.

Tags

7.9A

An ice cube is in the shape of a rectangular prism. Each side of this ice cube measures 2 inches.  The volume of this ice cube is (a)  

• 8 cubic inches

• 6 cubic inches

• 12 cubic inches

• 4 square inches

Answer explanation

The volume of a rectangular prism is calculated by multiplying its length, width, and height. For this ice cube, each side measures 2 inches, so the volume is 2 x 2 x 2 = 8 cubic inches, making the correct answer 8 cubic inches.

Tags

7.9A

The figure is a triangular prism. What is the volume of this triangular prism?

• 560 ft 3

• 1120 ft ³ 

• 600 ft ³

• 64 ft ³

Answer explanation

To find the volume of a triangular prism, use the formula: Volume = Base Area × Height. Given the dimensions, the calculated volume is 560 ft³, making the correct answer 560 ft³.

Tags

7.9A

When calculating volume of a pyramid, your last step is to always...

• divide by 3

• add the lengths of all the sides

• divide by 2

• multiply by 2

Answer explanation

When calculating the volume of a pyramid, the formula is (Base Area × Height) / 3. Thus, the last step is to divide by 3, making it essential to remember this step for accurate volume calculation.

Tags

7.9A

Calculate the volume of the rectangular pyramid in the picture.  Round to the nearest whole number if necessary.

• 216 yd³

• 108 yd³

• 72 yd³

• 36 yd³

Answer explanation

The volume of a rectangular pyramid is calculated using the formula V = (1/3) * base area * height. If the base area is 36 yd² and the height is 6 yd, then V = (1/3) * 36 * 6 = 72 yd³, which is the correct answer.

Tags

7.9A

Calculate the volume of the rectangular pyramid in the picture.  Round to the nearest whole number if necessary.

• 160 in³

• 960 in³

• 480 in³

• 320 in³

Answer explanation

The volume of a rectangular pyramid is calculated using the formula V = (1/3) * base area * height. If the base area is 96 in² and the height is 10 in, then V = (1/3) * 96 * 10 = 320 in³, which is the correct answer.

Tags

7.9A

Find the volume of this triangular pyramid.

Answer explanation

Tags

7.9A

Find the volume of the triangualr pyramid.

• 231 cm³

• 346.5 cm³

• 693 cm³

• 308 cm³

Answer explanation

The volume of a triangular pyramid is calculated using the formula V = (1/3) * base area * height. Given the dimensions, the correct calculation yields 231 cm³, confirming that this is the correct answer.

Tags

7.9A