Question

What is the volume, in cubic feet, of the rectangular prism shown below?a. 5/12b. 5/9c. 5/8d. 2 1/4

Answer 1

The rectangular prism is in the shape of cuboid

The volume of cuboid with length l, Breadth b, and height h is :

`\text{Volume of Cuboid=length}* breadth* height`

In the given figure we have:

Length=5/6 ft

Breadth=3/4 ft

Height =2/3 ft

Substitute the value and simplify:

`\begin{gathered} \text{Volume of Cuboid=length}* breadth* height \\ \text{Volume of Cuboid=}(5)/(6)*(3)/(4)*(2)/(3) \\ \text{Volume of Cuboid=}(5)/(2)*(1)/(1)*(1)/(3) \\ \text{Volume of Cuboid=}(5)/(6)ft^3 \end{gathered}`

Volume of given recatngular prism is : 5/6 cubic feet