Which is the best estimate for the percent that is represented by the shaded portion of the diagram? A grid model with 8 squares
2 answers:
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Answer:
Part 1) The volume of the paperweight is
Part 2) The total surface area of the paperweight is
Step-by-step explanation:
Part 1) what is the volume of the paperweight?
we know that
The volume of the paperweight is equal to the volume of the square pyramid plus the volume of the cube
step 1
Find the volume of the pyramid
The volume of the pyramid is equal to
where
B is the area of the square base
H is the height of the pyramid
substitute
step 2
Find the volume of the cube
The volume of the cube is equal to
step 3
Find the volume of the paperweight
Part 2) what is the total surface area of the paperweight?
we know that
The total surface area of the paperweight is equal to the surface area of 5 faces of the cube plus the lateral area of the pyramid
step 1
Find the surface area of 5 faces of the cube
step 2
Find the lateral area of the pyramid
step 3
Find the total surface area of the paperweight