Unit 5: Nets and Surface Area

Front

What is a net for a rectangular prism?

Back

A net for a rectangular prism is a two-dimensional shape that can be folded to form the three-dimensional rectangular prism. It consists of 6 rectangles that represent the faces of the prism.

Front

How do you find the surface area of a rectangular prism?

Back

To find the surface area of a rectangular prism, use the formula: Surface Area = 2(lw + lh + wh), where l is the length, w is the width, and h is the height.

Front

What is the surface area of a cube with a side length of 4 cm?

Back

The surface area of a cube is calculated using the formula: Surface Area = 6s². For a side length of 4 cm, Surface Area = 6(4)² = 96 cm².

Front

What is the formula for the surface area of a cylinder?

Back

The surface area of a cylinder is given by the formula: Surface Area = 2πr(h + r), where r is the radius and h is the height.

Front

What is the surface area of a triangular prism?

Back

The surface area of a triangular prism can be calculated using the formula: Surface Area = bh + l(s1 + s2 + s3), where b is the base, h is the height of the triangle, l is the length of the prism, and s1, s2, s3 are the lengths of the triangular faces.

Front

What is a square pyramid?

Back

A square pyramid is a three-dimensional shape with a square base and four triangular faces that meet at a single point (the apex).

Front

How do you calculate the surface area of a square pyramid?

Back

The surface area of a square pyramid is calculated using the formula: Surface Area = b² + 2(b * l), where b is the length of the base and l is the slant height.

Front

What is the difference between surface area and volume?

Back

Surface area measures the total area of the surface of a three-dimensional object, while volume measures the amount of space inside the object.

Front

What is the surface area of a rectangular prism with dimensions 5 cm, 3 cm, and 2 cm?

Back

Surface Area = 2(5*3 + 5*2 + 3*2) = 2(15 + 10 + 6) = 2(31) = 62 cm².

Front

What does a net for a triangular prism look like?

Back

A net for a triangular prism consists of two triangles (the bases) and three rectangles (the lateral faces) arranged in a flat layout.