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satela [25.4K]
3 years ago
15

A rectangular prism with a volume of 101010 cubic units is filled with cubes with side lengths of \dfrac12

Mathematics
2 answers:
Mnenie [13.5K]3 years ago
5 0

Answer:

80 cubes

Step-by-step explanation:

lawyer [7]3 years ago
4 0
Given that the volume of the prism is given by:
10 cubic units and the the side length of cubes to fill the prism is 1/2 units. Then the number of cubes required to fill the prism will be given by:
(volume of rectangular prism)/(volume of cube)
but
volume of cube is:
volume=length*width*height
volume=1/2×1/2×1/2=1/8 cubic units
thus the number of cubes required to fill the prism will be:
10/(1/8)
=10×8/1
=80 cube
Answer: 80 cubes
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4 years ago
Read 2 more answers
Estimate the values to complete the table.
lbvjy [14]

Answer:

Step-by-step explanation:

For angle C,

cos(∠C) = \frac{\text{Adjacent side}}{\text{Hypotenuse}} = 0.97

sin(∠C) = \frac{\text{Opposite side}}{\text{Hypotenuse}} = 0.26

tan(∠C) = \frac{\text{Adjacent side}}{\text{Adjacent side}} = 0.27

Therefore, from the triangle ABC,

cos(∠A) = cos(90° - ∠C)

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sin(∠A) = sin(90 - ∠A)

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tan(∠A) = \frac{\text{sinA}}{\text{cosA}}=\frac{0.97}{0.26}

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  A                    0.26                       0.97                             3.73

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3 years ago
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