SOL 7.5

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

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

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

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.

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

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

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

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

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

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.