Question

The surface area of a square pyramid is 136 square inches. The base length is 4 inches. what is the slant height

Answer 1

Given

• Surface area of Square pyramid= 136 inches²
• Base length=4 inches

To Find

• Slant Height

Solution

Base length(Side)=4 inches

Perimeter=4×Side=4×4=16inches

$\sf{TSA \: Of \: Square \: Pyramid =Side²+ 2×Perimeter × Slant \: Height}$

$\sf{\implies136=4²+ 2×16 × Slant \: Height}$

$\sf{\implies136-16=32Slant \: Height}$

$\sf{\implies\dfrac{120}{32}=Slant \: Height}$

$\sf{~~~~~~~Slant \: Height=3.75 }$

• Slant Height Of the Square Pyramid is 3.75 inches ²

Answer 2

Slant Height

Solution

Base length(Side)=4 inches

Perimeter=4×Side=4×4=16inches

Slant Height Of the Square Pyramid is 3.75 inches