Questions: Joe made an ice sculpture in the shape of this solid. Find the volume of the solid. 3 ft 2 ft 2 ft 4 ft 7 ft 8 ft

Solution Steps

We can divide the staircase shape into three rectangular prisms.

The bottom prism has dimensions 8 ft x 7 ft x 2 ft. Its volume is \(8 \times 7 \times 2 = 112 \text{ ft}^3\).

The middle prism has dimensions 6 ft x 7 ft x 2 ft. Its volume is \(6 \times 7 \times 2 = 84 \text{ ft}^3\).

The top prism has dimensions 3 ft x 7 ft x 2 ft. Its volume is \(3 \times 7 \times 2 = 42 \text{ ft}^3\).

The total volume is the sum of the volumes of the three prisms: \(112 + 84 + 42 = 238 \text{ ft}^3\).

Final Answer