1- question
Data:
width = 6 cm
length = 5 cm
height = 8 cm
First we will find the area of the base that is square, we have:
Ab = 6 * 5
Ab = 30 cm²
Now we will calculate the volume of a square pyramid, we have:
Formula: [tex]V = \frac{1}{3} A_{b} *h[/tex]
Solving:
[tex]V = \frac{1}{3} A_{b} *h[/tex]
[tex]V = \frac{1}{3}*30*8 [/tex]
[tex]V = \frac{240}{3} [/tex]
[tex]\boxed{\boxed{V = 80\:cm^3}}\end{array}}\qquad\quad\checkmark[/tex]
Answer:
D) 80 cm³
2- question:
Data:
width = 7 in
length = 7 in
height = 9 in
First we will find the area of the base that is square, we have:
Ab = 7 * 7
Ab = 49 in²
Now we will calculate the volume of a square pyramid, we have:
Formula: [tex]V = \frac{1}{3} A_{b} *h[/tex]
Solving:
[tex]V = \frac{1}{3} A_{b} *h[/tex]
[tex]V = \frac{1}{3}*49*9 [/tex]
[tex]V = \frac{441}{3} [/tex]
[tex]\boxed{\boxed{V = 147\:in^3}}\end{array}}\qquad\quad\checkmark[/tex]
Answer:
C) 147 in³
