Sofia B-Volume - Rectangular Prisms

Front

What is a rectangular prism?

Back

A three-dimensional shape with six rectangular faces, where opposite faces are equal in area.

Front

How do you calculate the volume of a rectangular prism?

Back

Volume = Length × Width × Height.

Front

What is the formula for finding the height of a rectangular prism if the volume and base area are known?

Back

Height = Volume ÷ Base Area.

Front

If a rectangular prism has a length of 10 cm, a width of 5 cm, and a height of 2 cm, what is its volume?

Back

Volume = 10 cm × 5 cm × 2 cm = 100 cm³.

Front

True or False: A rectangular prism has 6 faces.

Back

True.

Front

What is the volume of a rectangular prism with a length of 4 m, a width of 3 m, and a height of 2 m?

Back

Volume = 4 m × 3 m × 2 m = 24 m³.

Front

What is the relationship between the volume and the dimensions of a rectangular prism?

Back

The volume is directly proportional to the product of its length, width, and height.

Front

If the dimensions of a rectangular prism are doubled, how does the volume change?

Back

The volume increases by a factor of 8.

Front

What is the surface area of a rectangular prism?

Back

Surface Area = 2(Length × Width + Length × Height + Width × Height).

Front

If a rectangular prism has a volume of 60 cm³ and a height of 3 cm, what is the base area?

Back

Base Area = Volume ÷ Height = 60 cm³ ÷ 3 cm = 20 cm².