Question

The volume and base length of a square pyramid are 2,025cm³ and 15cm, respectively. Find its height​

Answer 1

Given :-

• Volume = 2,025 cm³
• Base length = 15cm

We know that,

Where,

B = base area

h = height

Base area = Length x length

=> 15 x 15 cm²

=> 225 cm²

Let the height be x,

Therefore,

$= > \frac{1}{3} (225 \times x) = 2025 {cm}^{3} \\ = > \frac{1}{3} \times 225x = 2025cm ^{3} \\ = > 75x = 2025 {cm}^{3} \: \: \: \: \: \: \: \: \: \: \: \: \: \\ = > x = \frac{ 2025 {cm}^{3} }{75 {cm}^{2} } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ = > x = 27cm \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

Therefore the height is 27cm.

Hope the answer helps you

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