Question

Draw a rectangular prism with length 8 feet, width 5 feet, and height 3 1/2 feet. Imagine this rectangular prism is full of water. Now draw a second rectangular prism with length 26 feet, width 10 feet, and height 4 feet. If you poured all the water from the first rectangular prism into the second, how high would the water be?

Answer 1

Answer:

the water will be 0.538 feet high

Step-by-step explanation:

Once the rectangles have been sketched out, with their correct dimensions, we will notice that the quantity of water that will fill the first rectangular prism simply equals to its volume.

The volume of the rectangular prism can be obtained by using the formula:

length X breadth X height.

First Prism:

Volume of the first prism =  8 X 5 X 3.5 = 140 square feet.

Second Prism

The same volume of water was poured into the second prism which had a different dimension from the first. To calculate the new height, we will use the fact that the volume = base area X height.

hence height = volume / base area

height of water = 140 / (26 X 10 ) = 0.538 feet

Therefore, the water will be 0.538 feet high