Question

Which calculation would be needed to find each of the following?

Surface Area
Volume

The amount of cereal a cereal box can hold

The amount of paint needed to paint the sides of a house

The amount of wrapping paper needed to wrap a gift

The amount of water a bottle can hold

Answer 1

To determine the specific calculations needed for each of the items listed, we can break them down into general concepts of surface area and volume:

### 1. **The amount of cereal a cereal box can hold (Volume)**
- **Calculation Needed:** To find the volume of a rectangular box (cereal box), use the formula:
\[
\text{Volume} = \text{Length} \times \text{Width} \times \text{Height}
\]

### 2. **The amount of paint needed to paint the sides of a house (Surface Area)**
- **Calculation Needed:** To calculate the surface area of a house, you'll typically need the total area of the walls (and possibly the roof). For rectangular walls, the formula is:
\[
\text{Surface Area} = 2 \times (\text{Length} \times \text{Height} + \text{Width} \times \text{Height})
\]
For more complex shapes, the surface area may be calculated by summing the areas of each individual face.

### 3. **The amount of wrapping paper needed to wrap a gift (Surface Area)**
- **Calculation Needed:** To find the amount of wrapping paper needed, calculate the surface area of the gift box. For a rectangular box, the formula is:
\[
\text{Surface Area} = 2 \times (\text{Length} \times \text{Width} + \text{Width} \times \text{Height} + \text{Height} \times \text{Length})
\]

### 4. **The amount of water a bottle can hold (Volume)**
- **Calculation Needed:** For a cylindrical bottle, the volume can be calculated using:
\[
\text{Volume} = \pi \times r^2 \times h
\]
Where \( r \) is the radius of the base and \( h \) is the height of the cylinder. For other shapes, the appropriate volume formula should be used.

### Summary:
- **Volume Calculations** for cereal box and bottle.
- **Surface Area Calculations** for the paint needed for a house and wrapping paper for a gift.