Question

Volume of cube and edge length word problem?

Answer 1

here is the problem, the correct answer is circled but i dont know how to get it.

Answer 2

@blondie16

Answer 3

Find the length of AB, the diagonal of the cube. The ice dispenser opening has to accommodate this length.

Answer 4

@algejay Find the length of the edge of the cube. The volume of the cube is 15,625. Recall that for a cube, Volume = (edge)^3.

Answer 5

still dont get it

Answer 6

Solve for x if x^3 = 15 625. That will give you the edge of the cube. Using that, I'll help you find the diagonal length.

Answer 7

thats 25

Answer 8

Correct. Now, we need the diagonal. In the next space, I'll attach a diagram of how to find the diagonal of the cube.

Answer 9

okay

Answer 10

First, find the length of the floor (face) diagonal of the cube. Use the Pythagorean Theorem to do this. The floor (face) diagonal is the diagonal of one of the square faces of the cube. I popped it out of the cube. You'll see it on the diagram.

So, you need to solve 25^2 + 25^2 = x ^ 2 for x. Post what you get for x. Then, we'll find the length of the diagonal d of the cube.

Answer 11

Please do not approximate the value of the face diagonal. Get the exact value. Thanks.

Answer 12

i got 35.3553390593

Answer 13

I got 25 times square root of 2.

Answer 14

Use the Pythagorean Theorem to find d.

(25 times square root of 2) ^2 + 25^2 = d ^2.

What is the value of d?

Once we know that, we can select the answer.

Answer 15

I forgot to attach the diagram.

Answer 16

25 times square root 2 is approximately 35.3553390593 which is what you got.

So, you could solve the equation 35.3553390593 ^ 2 + 25^2 = d^2 for d.

Answer 17

@algejay Let's wrap this up. You have only one more calculation to do.