SOL 7.5

Front

What is surface area?

Back

Surface area is the total area that the surface of a three-dimensional object occupies. It is measured in square units.

Front

When would you NOT need to calculate surface area?

Back

You would not need to calculate surface area when determining the volume of an object, such as how much water a fish tank holds.

Front

How does changing the height of a rectangular prism affect its surface area?

Back

Changing the height of a rectangular prism can increase or decrease its surface area, depending on whether the height is increased or decreased.

Front

What is the formula for the surface area of a rectangular prism?

Back

The surface area (SA) of a rectangular prism is calculated using the formula: SA = 2(lw + lh + wh), where l = length, w = width, and h = height.

Front

What is the volume of a rectangular prism?

Back

The volume (V) of a rectangular prism is calculated using the formula: V = lwh, where l = length, w = width, and h = height.

Front

If the height of a rectangular prism is tripled, how does that affect its volume?

Back

If the height of a rectangular prism is tripled while keeping the other dimensions the same, the volume will also triple.

Front

What is the volume of a cylinder?

Back

The volume (V) of a cylinder is calculated using the formula: V = πr²h, where r = radius and h = height.

Front

How do you find the volume of a cylindrical hot tub with a diameter of 6 feet and a height of 3.5 feet?

Back

First, find the radius (r = diameter/2 = 3 feet). Then use the formula: V = π(3²)(3.5) ≈ 98.9 cubic feet.

Front

What happens to the volume of a rectangular prism if both the height and width are doubled?

Back

If both the height and width of a rectangular prism are doubled, the volume will increase by a factor of 8.

Front

What is the relationship between surface area and volume in three-dimensional shapes?

Back

Surface area measures the total area of the shape's surface, while volume measures the space inside the shape. They are related but represent different properties.