Question

Each side of square pyramid is 8m and its surface area is 240m. Find the slant height of the pyramid

Answer 1

Answer:

| =slant height

. surface area=24om=2al

a=side =8m

240=2x8xI

|=240/16=15m

slant height is l5 meter

Answer 2

The slant height of the pyramid is 2.75 m.

Step-by-step explanation:

Given : Each side of square pyramid is 8 m and its surface area is 240 m.

To Find : The slant height of the pyramid ?

Solution :

The surface area of the square pyramid is given by,

$SA=2pl+b^2$

Where, SA is the surface area SA=240 m²

b is the side of the square b=8 m

l is the slant height

p is the perimeter i.e. p=4(b)=4(8)=32 m

Substitute the value,

$240=2(32)l+(8)^2$

$240=64l+64$

$64l=240-64$

$64l=176$

$l=\frac{176}{64}$

$l=2.75$

Therefore, the slant height of the pyramid is 2.75 m.

#Learn more

The base of the right pyramid is a square of side 10 centimetres is the height of pyramid is 12 centimetres then find its slant height lateral surface area total surface area volume

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