Question

Find the length of the base of a square pyramid if the volume is 48 cubic inches and has a height of 9 inches. Use 3.14 for pi, and round your answer to the nearest hundredth.

4 inches

8 inches

16 inches

24 inches

Answer 1

can anybody help me?

Answer 2

Use the formula

V = (1/3)*s^2*h

In this case,

V = 48
s = unknown (you are solving for s)
h = 9

Answer 3

what is s

Answer 4

so do i multiply 1/3 times 9?
equals 3 now what

Answer 5

V = (1/3)*s^2*h

48 = (1/3)*s^2*9

48 = (1/3)*9*s^2

48 = 3*s^2

isolate and solve for s

Answer 6

16

Answer 7

s^2 = 16

so

s = ???

Answer 8

16

Answer 9

s = 16 i thought

Answer 10

nope

Answer 11

s^2 = 16

you have to take the square root of both sides to isolate s

Answer 12

since the square root undoes squaring

Answer 13

256

Answer 14

square ROOT

Answer 15

4

Answer 16

yep

\[\Large s^2 = 16\]

\[\Large \sqrt{s^2} = \sqrt{16}\]

\[\Large s = 4\]

Answer 17

i got it before you said it haha yay

Answer 18

lol nice work

Answer 19

thanks man

Answer 20

Find the volume of a cone with a diameter of 5 inches and a height that is 3 times the radius. Use 3.14 for pi, and round your answer to the nearest hundredth.

49.06 in3

78.51in3

147.19 in3

392.50 in3

Answer 21

can you help with this

Answer 22

diameter of 5 inches

radius = ??

Answer 23

49.06

Answer 24

A large emerald with a mass of 378.24 grams was recently discovered in a mine. If the density of the emerald is 2.76grams over centimeters cubed, what is the volume? Round to the nearest hundredth when necessary and only enter numerical values, which can include a decimal point.