Question

A matchstick box in the shape of rectangular prism with the dimensions $5m\times 2m\times 4m$. Calculate the total surface area of the matchstick.

• A. $70{\text{m}}^2$
• B. $76{\text{m}}^2$
• C. $78{\text{m}}^2$
• D. $79{\text{m}}^2$

Answer 1

The correct option is B $76{\text{m}}^2$

Let's draw a rectangular prism with given dimensions.
Given,
Length of the rectangular prism $l=5$ m
Breadth of the rectangular prism $b=2$ m
Height of the rectangular prism $h=4$ m

As we know,
The total surface area of a rectangular prism $=2\left(lb\right)+2\left(bh\right)+2\left(lh\right)$

$=(2\times 5\times 2)+(2\times 2\times 4)+(2\times 5\times 4)$

$=20+16+40=76{\text{m}}^2$