63 is equal to the product of 9 and x
1 answer:
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Answer:
7.5cm²
Complete question:What is the surface area of the 8-sided figure?
Step-by-step explanation:
Consider the half of the 8-sided die i.e the pyramid ABCDE:
As the base is 6 of the perimeter, so each side of the base is 6/4=3/2
Now, the distance between the tallest points is 2 cm, so the height of Pyramid ABCDE is 1 cm.
Considering the right triangle EOM:
EO=1, OM= 3/4 (it is half of AB=3/2) and EM is the hypothenuse, so by the pythagorean theorem length of EM is
5. So side EBC has area
6. The total area is 8*Area(EBC)=
Answer:
Step-by-step explanation:
The composite figure consists of a square prism and a trapezoidal prism. By adding the volume of each, we obtain the volume of the composite figure.
The volume of the square prism is given by , where
is the base length and
is the height. Substituting given values, we have:
The volume of a trapezoidal prism is given by , where
and
are bases of the trapezoid,
is the length of the height of the trapezoid and
is the height. This may look very confusing, but to break it down, we're finding the area of the trapezoid (base) and multiplying it by the height. The area of a trapezoid is given by the average of the bases (
) multiplied by the trapezoid's height (
).
Substituting given values, we get:
Therefore, the total volume of the composite figure is (ah, perfect)
Alternatively, we can break the figure into a larger square prism and a triangular prism to verify the same answer: