Volume Review

A rectangular prism has a base that measures 4 centimeters by 6 centimeters and a height of 3 centimeters. Shane fills the prism with

 $\frac{1}{2}$ centimeter cubes.

 Which of the following statements is TRUE? 

• Shane will use 24 cubes on the bottom layer. 

• There will be 2 layers of cubes in the rectangular prism.

• Shane will use a total of 576 cubes to fill the rectangular prism.

• The rectangular prism will have a perimeter of 20 centimeters along the base. 

A Glofish tank in the shape of a right rectangular prism is 11 inches long, 11.5 inches wide, and 12 inches high.

What is the total amount of water needed, to the nearest cubic inch, to fill 90% of the fish tank with water?

• 1366 cubic inches

• 90 cubic inches

• 1518 cubic inches

• 1636 cubic inches

 

A box has a volume of  $54\ cm^3$ .  Which equation below can be used to solve for the missing side?

• 9 + (2)L = 54  $cm^3$  

• (9)(2)  $\div$  L = 54 $cm^3$  

• (9)(2) = L

• (9)(2)L = 54  $cm^3$  

What is the measurement of the missing side if the total volume is 54 cubic centimeters?

• 43 cm

• 2 cm

• 3 cm

• 9cm

Fredericka needs to fill her new planter with soil. The measurements of the planter are 24 inches long, 9 inches wide, and 10 inches tall.

What is the total amount of soil needed, to the nearest cubic inch, to fill 85% of the planter with soil?

• 2160 $cm^3$

• 36.55 $cm^3$

• 1836 $cm^3$

• 1638 $cm^3$

The space inside a moving truck trailer measures 27 ft long, 7 ft wide, and 8 ft high. What is the volume of the moving truck's trailer in cubic feet?

• $42\ ft^3$

• $1512\ ft^3$

• $223\ ft^3$

• $1152\ ft^3$

A rectangular prism has a base that measures 4 centimeters by 4 centimeters and a height of 6 centimeters. Marco fills the prism with   $\frac{1}{2}$  centimeter cubes.

 Which of the following statements is TRUE? 

• Marco will use 64 cubes on the bottom of the rectangular prism. 

• Marco will use 96 cubes to fill the rectangular prism. 

• Marco will have 14 layers of cubes in the rectangular prism.

• Marco has measured the perimeter of the base to be 16 cm.

A box has a volume of   $156\ cm^3$  .  Which equation below can be used to solve for the missing side?

•  $\left(6\ \frac{1}{2}\ \right)\ \left(3\right)\ =\ 156$  

•  $156\ -\ 6\ \frac{1}{2}\ \cdot\ 3\ =\ H$  

•  $\left(6\ \frac{1}{2}\right)\ \left(3\right)\ =\ H$  

•  $\left(6\ \frac{1}{2}\right)\left(3\right)H\ =\ 156$  

What is the measurement of the missing side if the total volume is 156 cubic centimeters?

• 156 cm

• 8 cm

• 19.5 cm

• 9.5 cm

A family is building an underground tornado shelter. In order to fit the entire family the tornado shelter should have a length of 6 feet, a width of 5 feet, and a height of 8 feet. What is volume of the tornado shelter?

• $19\ ft^3$

• $240\ ft^3$

• $420\ ft^3$

• $53\ ft\ ^3$