Question

The base of a prism is a rectangle of sides 6 cm and 8 cm and its height is 12 cm. It is split vertically along the diagonal of the base into two triangular prisms. What is the lateral surface of each of these triangular prisms?

• A. $292c{m}^2$
  
• B. $280c{m}^2$
  
• C. $284c{m}^2$
  
• D. $288c{m}^2$

Answer 1

The correct option is D

$288c{m}^2$

Base of a prism has length and breadth 6 cm and 8 cm respectively.

Diagonal of base $=\sqrt{6^2+8^2}=10cm$

Lateral surface area will be the area of rectangle formed.

Area = $6\times 12+8\times 12+10\times 12$

$=12(6+8+10)$

$=12\times 24$

$=288c{m}^2$