The base of an even solid prism is a triangle whose sides are 6, 8 and 10 cm. The height of the prism is 10 cm. What will be the total surface area, lateral surface area and volume of the prism?

Correct option is D

Given
Base sides = 6, 8, 10 cm (Right-angled triangle since 6² + 8² = 10²)
Height (h) = 10 cm

Formula Used
Lateral Surface Area (LSA) =$$Perimeter\ of\ base \times Height$$​​
Total Surface Area (TSA) = LSA + 2 $$\times$$​ Area of base
Volume = Area of base $$\times$$  Height


Solution
Perimeter = 6 + 8 + 10 = 24 cm
Area of base = $$\frac{1}{2} \times 6 \times 8 = 24 \text{ cm}^2$$​​
LSA = $$24 \times 10 = 240 \text{ cm}^2$$​​
TSA = 240 + 2(24) = $$288 \text{ cm}^2$$​​
Volume = $$24 \times 10$$​ = $$240 \text{ cm}^3$$​​

Final Answer
So the correct answer is (d)