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aalyn [17]
3 years ago
11

A rectangular pyramid has a volume of 90 cubic feet. What is the volume of a rectangular prism with the same size base and same

height?
Mathematics
1 answer:
yanalaym [24]3 years ago
8 0

Answer:

30 cubic feet

Step-by-step explanation:

Here we are given the volume of rectangular pyramid as 90 cubic feet as we are required to find the volume of rectangular prism.

For that we need to use the theorem which says that

the volume prism is always one third of the volume of the pyramid . Whether it is rectangular of triangular base. Hence in this case also the volume of the rectangular prism will be one third of the volume of the rectangular pyramid.

Volume of Rectangular prism = \frac{1}{3} * Volume of rectangular pyramid

=  \frac{1}{3} * 90

= 30

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The length of a rectangle is 4 cm less than it’s width. If the area of the rectangle is 165 cm^2. What are the dimensions of the
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Answer:

The dimensions are 11 cm by 15 cm

Step-by-step explanation:

Area of a rectangle = (length)(width).

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Thus, w^2 - 4W - 165 = 0.  We can solve for W using the quadratic formula:

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W = ---------------------------------------

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W = -----------------------  =   W = -------------  =  W  = 2 ± 13

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If the width, W, is 15, then the length is 4 less, or L = 11.

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Step-by-step explanation:

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