Word Problems on Surface Area of a Triangular Prism

Q.

A box with a square base and open top must have a volume of $13500{\text{cm}}^3$.

Find the dimensions of the box that minimize the amount of material used.

Sides of square base=___ $\text{cm}$

Height =____$\text{cm}$

Q. A wooden ramp in the shape of a right triangular prism with base, height and length as $6$ cm, $8$ cm and $13$ cm respectively is to be constructed. If the price of wood is
$\$2.5/c{m}^2$, how much (in dollars) will it cost to build the ramp?

1. $\$600$
2. $\$900$
3. $\$1000$
4. None of the above

Q. A room is in the shape of a rectangular prism with dimensions 20 ft $\times$ 12 ft $\times$ 10 ft. Cost to decorate entire room @ $\$4/{\text{ft}}^2$ is

1. $2560
2. $2660
3. $2860

Q.

An artist plans to paint bricks.

(a) Find the surface area of the brick.

Q. The lateral surface area of a triangular prism is $240$ cm${}^2$ and its base is an equilateral triangle of side $10$ cm. What will be its total surface area?

Q. If $780$ m${}^2$ of cloth is required to construct a $30$ cm long tent of base $10$ cm, the height of the tent will be ?

1. $13$ cm
2. $12$ cm
3. $15$ cm

Q.

Find the surface area of the prism or regular pyramid.

Q. How much glass (in cm ${}^2$) will be required to contstruct a kaliedoscope of length $20$ cm having an equilateral triangle of side $8$ cm as the base?

1. $348$ cm${}^2$
2. $580$ cm${}^2$
3. $480$ cm${}^2$