Question

A loaf of bread can be modeled by a rectangular prism topped with half a right cylinder. David measures the dimensions of the prism as 5 in by 5 in by 13 in. Using those dimensions, find the volume of the loaf. Round your answer to the nearest tenth if necessary. (Note: diagram is not drawn to scale.)​

Answer 1

we should use the formula volume=ab×hsquare

Answer 2

The correct answer is 487.5$in^3$

What is Rectangular prism?

• A rectangular prism is a three-dimensional object that uses rectangles as parallel bases.
• The volume of rectangular prism is Length x width x height

How to Solve the Problem?

The dimension of the prism given are 5in , 5 in , 13in

We need to find the volume of the loaf of the bread

So ,

The volume of rectangular prism is  Length x width x height

V1 = 5*5*13

∴ V1 = 325$in^3$

The volume of half a right cylinder

V2= ($\frac{1}{2}\pi r^{2}h$)

∴ V2 = ($\frac{1}{2}*(5)^{2}* 13$)

∴ V2= 162.5  $in^3$

∴ Volume of loaf of bread is V = V1+V2

∴ V = 325+162.5

∴V = 487.5$in^3$

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