Question

Nikki use some cloth to make a miniature tent, as shown in the figure. How much cloth did she use to make the tent?

A.
61 square inches
B.
140 square inches
C.
272 square inches
D.
296 square inches
E.
300 square inches

Answer 1

ANSWER

The correct answer is $296$ square inch.

EXPLANATION

We just have to find the total surface area.

That is we find the area of the two triangular faces and add it to the area of the three rectangular faces.

Recall that:

$Area\: of\:Triangle =\frac{1}{2}\times base \times height$

and

$Area\: of\:Rectangle =length \times width$

$Total\:Surface\:Area=\frac{1}{2} \times 8\times 7 \times 2+ 10\times 8 \times 3$

$Total\:Surface\:Area=4\times 7 \times 2+ 10\times 8 \times 3$

$Total\:Surface\:Area=56+ 240$

$Total\:Surface\:Area=296$  square inches

Hence Nikki used 296 square inches of cloth to make the tent.

Answer 2

Answer: D.  296 square inches

Step-by-step explanation:

1. You must apply the following formula to solve this problem, this is used for calculate the area of a triangular prism:

$A=bh+2ls+lb$

Where b is the base, h is the height, s is the slant and l is the length.

2. Substitute the values into the formula shown above.

3. The result is:

$A=(8inches)(7inches)+2(10inches)(8inches)+(10inches)(8inches)=296inches^{2}$