Matthew is at the beach with is family, Housing a rectangular prism shaped container to mold sand for his sandcastle. The container has the following dimensions. 12 in. by in. by in.
a)Matthew noticed that the container was one fourth full of sand. How many more cubic inches of sand would be required to fill the container ? Show your work.
b) Matthew's father has a container that has dimensions that are each double the dimensions of Mathew's container.Matthew thought that the volume would be also double. Is Matthews correct? How many times greater is the volume of the larger container the the volume of the smaller one? Show your work and explain the reasoning. Can someone help ? thanks

Respuesta :

When Matthew noticed that the container was one fourth full of sand, the remaining volume quantity needed is 432 inches³.

How to calculate the volume?

The container has the following dimensions. 12 in. by 8in. by 6in. Therefore, the volume will be:

= 12 × 8 × 6

= 576 inches.

Since Matthew noticed that the container was one fourth full of sand, the remaining quantity needed will be:

= 576 - (1/4 × 576)

= 576 - 144

= 432 inches³.

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