A right rectangular prism has base dimensions of 3 inches by 12 inches and a height of 5 inches. An oblique rectangular prism ha
s base dimensions of 4 inches by 9 inches and a height of 5 inches.Is it possible to have all the volumes would be the same?
A. Yes, because the heights are equal and the cross-sectional areas at every level parallel to the bases are also equal.
B. Yes, because the figures are congruent.
C. No, because the cross-sectional areas are not the same.
D. No, because only the bases have the same area, not every cross section at every level parallel to the bases.
A. Yes, because the heights are equal and the cross-sectional areas at every level parallel to the bases are also equal.
B. Yes, because the figures are congruent.
C. No, because the cross-sectional areas are not the same.
D. No, because only the bases have the same area, not every cross section at every level parallel to the bases.
2 answers:
Answer with explanation:
Right Rectangular prism 1
Dimension of Base =3 inches by 12 inches
Height =5 inches
→Volume of Right Rectangular prism 1
= Area of Base × Height
= 3 × 12 ×5
= 180 cubic inches
Right Rectangular prism 2
Dimension of Base =4 inches by 9 inches
Height =5 inches
→Volume of Right Rectangular prism 2
= Area of Base × Height
= 4 × 9 ×5
= 180 cubic inches
Option A: Yes, because the heights are equal and the cross-sectional areas at every level parallel to the bases are also equal.
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Answer:
∠ U = 60°
Step-by-step explanation:
The tangent- tangent angle U is half the difference of its intercepted arcs
minor arc VT = 120° , then
major arc VT = 360° - 120° = 240°
Then
∠ U = (240 - 120)° =
× 120° = 60°