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ValentinkaMS [17]
3 years ago
5

What is the volume of the square pyramid with base edges 4 m and height 3 m?

Mathematics
1 answer:
kicyunya [14]3 years ago
8 0

Answer:

Volume of the pyramid = 16m³ or 16 cubic meters.

Step-by-step explanation:

The equation for the volume of a pyramid is:

V=\frac{b*h}{3}

where b = area of base and h = height.

In this case, the base is a square with a side length of 4m.

Area of the square base = (4m)² = b = 16m²

h = 3m

Insert b and a into the volume of a pyramid equation.

V=\frac{3m*16m}{3}

= 16m³

Volume of the pyramid = 16m³ or 16 cubic meters.

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Write the vector u as a sum of two orthogonal vectors, one of which is the vector projection of u onto v, projvu u=(-8,8) , v= (
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Step-by-step explanation:

Given: u=(-8,8) , v= (-1,2)

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Solution:

A vector is a quantity that has both magnitude and direction.

proj_vu=\frac{u\cdot v}{\left | v \right |^2}(v)\\=\frac{(-8,8)\cdot (-1,2)}{(\sqrt{ (-1)^2+2^2})^2}(-1,2)\\=\frac{8+16}{5}(-1,2)\\=\frac{1}{5}(-24,48)\\=(-4.8,9.6)

Let w_1=(-4.8,9.6)

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w_2=u-w_1\\=(-8,8)-(-4.8,9.6)\\=(-8+4.8,8-9.6)\\=(-3.2,-1.6)

So, u = (-4.8,9.6)+(-3.2,-1.6)

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Step-by-step explanation:

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