Question

A classroom is 38 ft long, 24 ft wide and 10ft high. Determine the volume and surface area.

Answer 1

Answer on Question #61612 – Math – Geometry

Question

A classroom is 38 ft long, 24 ft wide and 10 ft high. Determine the volume and surface area.

Solution

The classroom is right parallelepiped.

$$\text{Volume} = l \cdot w \cdot h$$

The surface area of the parallelepiped is the sum of all areas of faces, which are rectangles.

$$\text{Surface Area} = 2l \cdot w + 2l \cdot h + 2w \cdot h$$ $$l = 38 \, \text{ft}, \quad w = 24 \, \text{ft}, \quad h = 10 \, \text{ft}.$$$$V = 38 \cdot 24 \cdot 10 = 9120 \, (\text{ft}^3)$$ $$S = 2 \cdot 38 \cdot 24 + 2 \cdot 38 \cdot 10 + 2 \cdot 24 \cdot 10 = 3064 \, (\text{ft}^2).$$

Answer: $9120 \, \text{ft}^3$, $3064 \, \text{ft}^2$.

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