Question

A prism has a volume of 200cm^3 (this means cubed!)

Choice 1: Describe the dimensions of a different prism with about the same volume.
Choice 2: Describe the dimensions of a cylinder with about the same volume.

Answer 1

A prism has a volume of 200cm^3.

1) In the first case the prism is different so we can suppose any of the prism like cuboid which volume must be 200.

Then dimensions may be like this:

• L = 10 cm

• B = 4 cm

• H = 5 cm

2) Int he second case the prism is cylinder so make the volume of the cylinder as 200 cm³

Then the dimension may be like this:

• Radius: 10 cm.

• Height: 14/22 cm.

(These value can differ as there are so many possibility to make the condition satisfied.)

Answer 2

Given:

The volume of the prism $200 cm^{3}$.

To find:

The dimension of a different prism with about same volume and the dimension of a cylinder with about same volume.

Solution:

As the volume of the prism is $200 cm^{3}$.

For choice 1:

Assume any prism like cuboid which have the volume $200 cm^{3}$.

${\rm{Volume of the cuboid = length \times breadth \times height}}$

So, consider the dimension of the cuboid with volume $200 cm^{3}$.

Length = 20 cm Breadth= 5 cm Height 1 cm

For choice 2.

As the prism is in the form of cylinder with volume $200 cm^{3}$.

So, consider the dimension of the cylinder.

Radius = 10 cm  Height = $\frac{14}{22}$.

The assumed dimensions of the prism can be differ with the volume $200 cm^{3}$.