Question

StatusExam9 ft.15 ft.The volume ofthe figure iscubic feet.15 ft.15 ft.

Answer 1

Step 1:

The figure is a composite figure with a square base pyramid and a cube.

Step 1:

The volume of the composite shape is the sum of the volume of a square base pyramid and a cube.

`\text{Volume = L}^3\text{ + }(1)/(2)\text{ base area }*\text{ height}`

Step 3:

Given data

Cube

Length of its sides L = 15 ft

Square base pyramid

Height h = 9 ft

Length of the square base = 15 ft

Step 4:

Substitute in the formula.

`\begin{gathered} \text{Volume = 15}^3\text{ + }(1)/(3)\text{ }*15^2\text{ }*\text{ 9} \\ \text{= 3375 + 675} \\ =4050ft^3 \end{gathered}`