Question

Select the correct answer.Christi is using a display box shaped like a regular pentagonal prism as a gift box. About how much gift wrap does she need to completely coverthe box?A 800 cm²B. 480 cm2C. 1,020 cm²D. 1,600 cm²

Answer 1

C. 1,020
`cm^(2)`

Hope this helps!

Explanation:

Answer 2

Given: A regular pentagonal prism with base edge 8cm and height 20 cm .

Find: wrap need to cover the box.

Explanation: for to find the length of wrap we need to find the area of regular pentagonal prism .

`A=5ah+(1)/(2)\sqrt{5(5+2√(5))}a^2`

where a=base edge=8cm and h =height=20 cm

`\begin{gathered} A=5*8*20+(1)/(2)\sqrt{5(5+2√(5))}*8^2 \\ =1020.2211\text{ cm}^2 \end{gathered}`

Final answer: the required answer is 1020 square centimeter.