Find the volume of each three dimensional figure (3 problems please help)

Step-by-step explanation:

1) The solid is a cube. The formula for determining the volume of a cube is expressed as

Volume = s³

s = 5 cm

Therefore,

Volume = 5³ = 125 cm³

2) The solid is a cuboid. The formula for determining the volume of a cuboid is expressed as

Volume = lwh

l = 10 inches

w = 5 inches

h = 2 inches

Therefore,

Volume = 10 × 5 × 2 = 100 inches³

3) The solid is a square base pyramid. The formula for determining the volume of a square base pyramid is expressed as

Volume = Area of square base × height

Area of square base = 3² = 9 m²

h = 10 m

Volume = 9 × 10 = 90m³

use the power rule  

( a b ) n = a n b n

to distribute the exponent.

apply the product rule to  

3 x 2 y 3 . ( 3 x 2 ) 2 ( y 3 ) 2

apply the product rule to  

3 x 2 . 3 2 ( x 2 ) 2 ( y 3 ) 2

raise  

3

to the power of  

2 . 9 ( x 2 ) 2 ( y 3 ) 2 multiply the exponents in   ( x 2 ) 2

.

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 2 ⋅ 2 ( y 3 ) 2

multiply  

2   by   2 . 9 x 4 ( y 3 ) 2

multiply the exponents in  

( y 3 ) 2 .

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 4 y 3

⋅

2

multiply  

3   by   2 . 9 x 4 y 6

step-by-step explanation:

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step-by-step explanation:

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