The slope is -4.500
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ANSWER

EXPLANATION
We want to factor

out of

The first term is already having a factor of

The constant term which is the second term is not having a factor of

so we need to use a trick of multiplying and dividing by the same factor to obtain,

We can now factor

out of the right hand side to obtain,

Let us rewrite the right most fraction using the normal division symbol.

We simplify to obtain,

This further gives us,

Answer: The volume of the solid is 324 cm³
Step-by-step explanation:
Formula for determining the volume if a cube is s³
Where s represents the length of each side of the cube.
From the information given, s = 6 cm
Volume = 6³ = 216 cm³
The formula for determining the volume of the square base pyramid is expressed as
Volume = Area × height × 1/3
From the information given,
Length of square base = 6 cm
Height = 6 cm
Area of square base = 6² = 36 cm²
Volume of square base pyramid
= 36 × 6 × 1/3 = 108 cm³
The volume of the solid would be the sum of the volume of the cube and the volume of the square base pyramid. It becomes
216 + 108 = 324 cm³
Read the paragraph, then go back and see which of the points match up and which don’t