The height was 30, the width was 25,and the length is 20.

What is the volume, in cubic inches, of the block of ice?

I think you multiply 30x25x20 and get 15,000. The answer is 15,000 cubic inches.

Harry wants to make another block of ice with the same volume. He needs one dimension of the block to be 40 inches. What could be the other two dimensions of the block?

So if 40 was the length, i divided 15,000 by 40 and got 375. The width is 25 and the height is 15.

Please check my answers. If i got it wrong,please show me the route to find my answers.

Yes, you're right.

To find the volume of the block of ice with height 30, width 25, and length 20, you correctly multiplied the three dimensions: 30 x 25 x 20 = 15,000 cubic inches. So, your answer is correct.

Now, let's find the other two dimensions when one dimension is 40, and the volume is still 15,000 cubic inches.

To do this, we can divide the volume (15,000) by the known dimension of 40 to find the product of the remaining two dimensions.

15,000 / 40 = 375

So, the remaining two dimensions multiply to 375. Now, we have to determine what those dimensions could be.

One way to proceed is by listing all the possible pairs of factors of 375 and checking which combination can multiply to give the desired product.

The factors of 375 are: 1, 3, 5, 15, 25, 75, and 125.

Checking each pair, we can see that 25 x 15 = 375. Therefore, the other two dimensions could be width = 25 inches and height = 15 inches.

So, in conclusion, the two other dimensions of the block with one dimension as 40 inches and the same volume of 15,000 cubic inches could be width = 25 inches and height = 15 inches.