Question

The volume for a rectangular prism is given by the formula V = l · w · h, where l is the length of the prism, w is the width of the prism, and h is the height of the prism.

The volume of a rectangular prism is 729 cubic inches. If the length and height are 9 inches each, what is the width of the rectangular prism?

81 inches
711 inches
72 inches
9 inches

Answer 1

@nirmalnema @Nnesha @sammixboo

Answer 2

\[V = l \cdot w \cdot h\]
rearrange the equation to solve for \(w\) the width of the prism

Answer 3

81

Answer 4

\(\rm V~=~l \times w \times h\)

Since we know the Length and Height are 9, and the Volume is 729, we plug in the information

\(\rm V~=~l \times w \times h\)

\(\rm 729~=~9 \times w \times 9\)

Now we multiply 9 and 9

So what is 9 x 9?

Answer 5

The Answer to the problem isn't 81

Answer 6

So what is 9 x 9?

Answer 7

81

Answer 8

Good now we have

\(\rm 729~=~81\times w \)
To solve this we must divide 81 on both sides of the equation

\(\rm 729/81~=~81/81 \times w \)
\(\rm 729/81~=~w \)

So what is 729/81?

Answer 9

w=729/81=9

Answer 10

:( PLease let the asker solve this =) Thanks <3

Answer 11

9?

Answer 12

But it is 9, so that means 9 = w

Answer 13

So 9 is our final answer

Answer 14

thanks you both

Answer 15

No problem =)