Question

Type the correct answer in the box.Consider these two similar right rectangular pyramids. Figure 1 is similar to figure 2 by a scale factor of 2.If the base area of figure 2 is 120 square centimeters, the base area of figure 1 is square centimeters.

Answer 1

ANSWER

The base area of figure 1 is 480 square cm

Explanation

Given information

The base area of figure 2 = 120 square centimeters

Figure 1 is similar to figure 2 by a scale factor of 2

Step 1: Find the base area of figure 1 by using the below formula

`\begin{gathered} \frac{Base\text{ area of figure }1}{\text{Base area of figure }2}=Scalefactor^2 \\ \frac{\text{Base area of fig. 1}}{\text{120 }}=(^2(2)/(1)) \\ \text{Cross multiply} \\ \text{Base area of figure 1 = 120 }*4 \\ \text{Base area of figure 1 = 480 }cm^2 \end{gathered}`

Hence, the base area of figure 1 is 480 square cm