Two boxes are shaped as right rectangular prisms. The larger box is has a length of 24 cm, a width of 10 cm, and a height of 30 cm. The dimensions of the smaller box are half the dimensions of the larger box. What is the volume of the smaller box? Enter your answer in the box.
half of 24 is 12, half of 10 is 5, half of 30 is 15, multiply 12x5x15 you get 900
Answer: The answer of this question is 900 \(cm^{3}\)
It is basically the amount of a substance that the rectangular prism can hold in its capacity.
Volume= Length breadthheight
we are given the dimensions of the larger rectangular prism which are length =24 cm, Width =10 cm, Height= 30 cm and are said that the dimensions of the smaller rectangular prism is half of the larger one. so the dimensions of the smaller rectangular prism are as follows:
Length= 12cm
Width= 5 cm
Height= 15 cm
so the volume can be calculated as under
Volume = 12515
=900 \(cm^{3}\)
Hence the volume of the smaller rectangular prism is 900\(cm^{3}\)
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