Question

A vase has the shape of a rectangular prism. The inside of the vase is also a rectangular prism. What is the volume of the solid part of the vase? Enter your answer in the box.

cm2

Answer 1

Based on the diagram shown below, the volume of the solid part of the vase is 1560 cubic centimeters.

In Mathematics and Geometry, the volume of a rectangular prism can be calculated by using the following formula:

Volume of a rectangular prism = L × W × H

Where:

• L represents the length of a rectangular prism.
• W represents the width of a rectangular prism.
• H represents the height of a rectangular prism.

Based on the diagram showing this vase, the volume of the solid part of the vase can be calculated by using the following formula:

Volume of the solid part = Volume of vase - Volume of inside prism

Volume of the solid part = (25 × 8 × 10) - (22 × 4 × 5)

Volume of the solid part = 2000 - 440

Volume of the solid part = 1560 cubic centimeters.

Complete Question:

A vase has the shape of a rectangular prism. The inside of the vase is also a rectangular prism. What is the volume of the solid part of the vase? Enter your answer in the box.

Answer 2

`V_(s) = (\pi)/(4)\cdot D_(out)^(2) \cdot h -(\pi)/(4)\cdot (D_(out)-2\cdot t)^(2)\cdot (h-t)`

Explanation:

The geometric description of the vase is described in the image attached below. The volume of the solid part of the vase is:

`V_(s) = V_(out) - V_(in)`

`V_(s) = (\pi)/(4)\cdot D_(out)^(2) \cdot h -(\pi)/(4)\cdot (D_(out)-2\cdot t)^(2)\cdot (h-t)`

Where:

`D_(out)` - Outer diameter, in centimeters.

`t` - Vase thickness, in centimeters.