Question

1 of 6Work out the surface area of this solid prism.9m10m6m8m​

Answer 1

Given:

Consider the below figure attached with this question.

To find:

The surface area of this solid prism.

Solution:

The surface area of this solid prism is

$A=P\times h+2B$

Where, P is the perimeter of the base, B is the area of the base and h is the height of the prism.

Perimeter of the base is:

$P=6+8+10$

$P=24$

Area of the base is:

$B=\dfrac{1}{2}\times base\times height$

$B=\dfrac{1}{2}\times 8\times 6$

$B=24$

Putting $P=24$ and $B=24$ in the formula for area, we get

$A=(24)\times 9+2(24)$

$A=216+48$

$A=264$

Therefore, the surface area of the given prism is 264 m².