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3 years ago

What is the volume of the prism 4 1/2 cm 6 cm 2 1/2 cm enter your answer in the box as a mixed number in simplest form

Mathematics

1 answer:

Bogdan [553]3 years ago

8 0

Answer:

V = 40 1/2cm^3 OR 40.5cm^3

Step-by-step explanation:

A Prism is given it's name from the nature of it's base.

If it's a triangular base, it's call a TRIANGULAR PRISM.

If the base is of a rectangle shape, it's called a RECTANGULAR PRISM and so on!

From the question given, we'll treat the prism as a RECTANGULAR PRISM.

The volume of a prism is expressed as:

V = Bh

B means the BASE AREA

h means the height

Base Area for the prison is RECTANGLE.

Area of a rectangle (A) = lw

l means height

w means weight.

From the dimensions given in the question:

Length = 4 1/2cm

Width = 6cm

Height = 1 1/2cm

Let's start with the BASE AREA of the Rectangle

A = lw

A = 4 1/2cm * 6cm

A = 9/2cm * 6cm

A= 27cm^2

Volume = Base Area (A) * height (h)

V = Bh

V= 27cm ^2 * 1 1/2 cm

V = 27 * 3/2

V = 81 / 2

V = 40 1/2cm^3 OR 40.5cm^3

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