Question

myps math quiz: unit 3 (8.1 - 8.3) perimeter, area & surface area 10/24/25
first name:initial of last nameperiod:
for the teachers use; score: nc 1 1.5 2 2.5 3 3.5 4

1. determine the area a. (level 1)
2. determine the perimeter p. (level 2)
3. determine the perimeter p and area a. (level 2)
4. calculate the surface area of a rectangular prism that is 1.8inches by 6inches by 4inches. (level 2)
5. find h (level 3)
6. determine the perimeter p and area a. (level 3)

Explanation:

Step1: Recall the area formula for a triangle

The area formula for a triangle is \(A=\frac{1}{2}\times base\times height\). Here, the base \(b = 15\mathrm{cm}\) and \(A=20\mathrm{cm}^2\).

Step2: Solve for \(h\)

We have \(A=\frac{1}{2}\times b\times h\). Substitute \(A = 20\) and \(b=15\) into the formula:

$$20=\frac{1}{2}\times15\times h$$

First, simplify the right - hand side: \(\frac{1}{2}\times15\times h=\frac{15h}{2}\). Then, solve for \(h\):

$$h=\frac{20\times2}{15}=\frac{40}{15}=\frac{8}{3}\approx2.67\mathrm{cm}$$

Answer:

\(h=\frac{8}{3}\mathrm{cm}\approx2.67\mathrm{cm}\)