A tea bag is shaped like a regular square pyramid. Each leg of the base is 4 cm, and the slant height is 5 cm. What are the lateral area & surface area of the tea bag?

Question

Mathematics

Reilly Neal

13 March, 22:43

A tea bag is shaped like a regular square pyramid. Each leg of the base is 4 cm, and the slant height is 5 cm. What are the lateral area & surface area of the tea bag?

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Answers (1)

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Bruce Norton · Answer 1

The lateral area of the tea bag is the sum of the areas of the four triangles.

LA = 4 x (1/2) bh

Substituting,

LA = 4 x (1/2) (4 cm) (5 cm) = 40 cm²

The surface area is the sum of the lateral area and the area of the base.

SA = LA + BA

SA = 40 cm² + (4 cm) (4 cm) = 56 cm²