A = 1024^6; b = 243^10 c = (5√5)^40
1 answer:
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Answer:
1) Volume of prism =
2) Option B is the correct answer.
Explanation:
1) Volume of a prism is given by the expression, Volume V = Base area of prism x Height of prism.
Base area =
Volume =
Volume of prism =
2) Volume of a prism is given by the expression, Volume V = Base area of prism x Height of prism.
Base area =
Volume =
Option B is the correct answer.
Answer:
x³ + 7x² + 15x + 9
Step-by-step explanation:
Given that the volume (V) of a rectangular pyramid is
V = A h ( A is the area of base and h the height ), then
V = (3x² + 12x + 9)(x + 3) ← factor out 3 from A
= × 3(x² + 4x + 3)(x + 3)
= (x² + 4x + 3)(x + 3)
Each term in the second factor is multiplied by each term in the first factor, that is
x² (x + 3) + 4x(x + 3) + 3(x + 3) ← distribute parenthesis
= x³ + 3x² + 4x² + 12x + 3x + 9 ← collect like terms
= x³ + 7x² + 15x + 9
Thus the expression for the volume is
V = x³ + 7x² + 15x + 9