Question

Albert wants to build a shed. Which of the following objects would be a reasonable estimate for the figures and volume of the shed?

Question 1 options:

A rectangular prism and a triangular prism with a volume of 1500 feet cubed


A triangular prism and a sphere with a volume of 865 inches cubed


A cylinder and a cone with a volume of 125 feet cubed


A rectangular prism and a cylinder with a volume of 2000 feet cubed

Answer 1

To determine a reasonable estimate for the figures and volume of a shed, we need to consider typical shapes and sizes for sheds, which are usually larger in scale and often have a rectangular prism shape and may include a cylindrical structure (like a round shed) or have cylindrical components.

Let's analyze the options:

1. **A rectangular prism and a triangular prism with a volume of 1500 feet cubed**
- A rectangular prism could represent a typical shed structure and 1500 cubic feet is a reasonable volume for a shed.

2. **A triangular prism and a sphere with a volume of 865 inches cubed**
- 865 cubic inches is quite small compared to typical shed volumes and the shapes are not representative of shed designs.

3. **A cylinder and a cone with a volume of 125 feet cubed**
- 125 cubic feet is also quite small for a shed, as typical sheds may exceed this volume. The shapes might not represent a standard shed.

4. **A rectangular prism and a cylinder with a volume of 2000 feet cubed**
- A rectangular prism is suitable for a shed, and 2000 cubic feet is a reasonable size for a larger shed.

Given this analysis, the best estimates for figures and volume of a shed would be:

**A rectangular prism and a cylinder with a volume of 2000 feet cubed.**