TSA 7th Math - Volume and Surface Area Test

A stereo speaker in the shape of a triangular pyramid has a height of 6 inches. The AREA OF THE BASE of the speaker is 11 square inches.

What is the volume of the speaker in cubic inches? (Use the standard formula for volume of a pyramid

 $V=\frac{Bh}{3}$ ) 

•  $22\ in^3$  

•  $198\ in^3$  

•  $66\ in^3$  

•  $33\ in^3$  

A ringtoss toy is composed of a rectangular prism on top of a cylinder. The rectangular prism is completely filled with water. The dimensions of the rectangular prism are shown in the diagram. What is the volume of the rectangular prism in cubic centimeters?

• 
  

  $26\ cm^3$
  

• $270\ cm^3$

• $165\ cm^3$

• $348\ cm^3$

The dimensions of a triangular prism are shown in the diagram. What is the volume of the triangular prism in cubic centimeters?

• 
  

  $1,360\ cm^3$
  

• $408\ cm^3$

• $1,632\ cm^3$

• $816\ cm^3$

Some of the dimensions of the square pyramid are shown in the diagram. The height of the square pyramid is 7.5 meters. What is the volume of the square pyramid in cubic meters?

• 
  

  $202.5\ m^3$
  

• $303.75\ m^3$

• $270\ m^3$

• $243\ m^3$

Two identical number cubes are shown in the picture. The edge length of these number cubes is 3 centimeters. What is the COMBINED volume of the TWO number cubes in cubic centimeters?

• 
  

  $54\ cm^3$
  

• $18\ cm^3$

• $9\ cm^3$

• $27\ cm^3$

A pencil holder shaped like a triangular prism is shown in the picture. The height of the pencil holder is 12 cm, and the VOLUME of the the pencil holder is

 $216\ cm^3$  . 

What is the AREA OF THE BASE? of the pencil holder in square centimeters? 

(Hint: Use the formula  $V=Bh$  )

•  $18\ cm^2$  

•  $54\ cm^2$  

•  $20\ cm^2$  

•  $6\ cm^2$  

The dimensions of a triangular prism are shown in the diagram. What is the volume of the triangular prism in cubic centimeters?

• 
  

  $480\ cm^3$
  

• $192\ cm^3$

• $240\ cm^3$

• $384\ cm^3$

Alana drew a model of a square pyramid. The dimensions of the model are shown in the diagram. What is the volume of Alana's model in cubic centimeters?

• 
  

  $400\ cm^3$
  

• $1,200\ cm^3$

• $600\ cm^3$

• $160\ cm^3$

A storage container is shaped like a rectangular prism. The VOLUME of the container is 1,360 cubic feet. The AREA OF THE BASE is 160 square feet. What is the HEIGHT of the container in feet?

(Hint: Use the formula V=BH)

• 17 ft

• 34 ft

• 8.5 ft

• Not Here

What is the volume of the triangular prism shown?

• 
  

  $143\ cm^3$
  

• $312\ cm^3$

• $156\ cm^3$

• Not Here