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2 years ago

Find the total number of unit cube that fill the entire prism

Mathematics

1 answer:

Nonamiya [84]2 years ago

3 0

Answer:

72 cubes

Step-by-step explanation:

Attached is the picture drawn (though not great one), showing 6 cube on length of prism, 3 cubes on width and 4 cubes on height of prism.

Given: Length of prism= 6

Width= 3

Height= 4

To know the number of cubes, which can fill the entire prism, we need to find volume of prism.

∴ Volume of prism= $length\times width\times height$

Volume of prism= $6\times 3\times 4= 72$

∴ 72 units of cube can fill the entire prism.

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How much work is done in lifting a 1.4-kg book off the floor to put it on a desk that is 0.7 m high?

nalin [4]

Answer:

Step-by-step explanation:

Work is said to be done when a force applied to an object cause the body to move in a specified direction.

Work-done = Force * Distance

Since Force = mass * acceleration due to gravity

Work-done = mass * acceleration due to gravity * distance

Given mass = 1.4kg, distance = 0.7m and g = 9.8m/s²

Workdone in lifting the book off the floor = 1.4*0.7*9.8

Workdone = 9.604Joules

- Similarly, work done in lifting a 21-lb weight book 6 ft off the ground is expressed using the same formula as above;

Given mass = 21-lb, g = 32ft/s² and distance = 6ft

Workdone = 21 * 32 * 6

Workdone = 4,032 lb-ft²/s²

Hence, work-done in lifting a 21-lb weight book 6 ft off the ground is 4,032 lb-ft²/s²

3 0

3 years ago

A circle is placed in a square with a side length of 18 mm, as shown below. Find the area of the shaded region.

finlep [7]

Answer: the shaded region = 69.66mm^2

Explanation:
Assume shaded region is X
Then :
X + Area of circle = area of square
X = area of square - area of circle

Find area of square:
Side length = 18mm
Area = 18 x 18 = 324

Find area of circle:
Side length of a square = the diameter of the circle = 18mm
And r(radius) = d/2 = 18/2 = 9
Area = pi x 9^2 = 254.34

Now find X
X = 324 - 254.34 = 69.66

3 0

2 years ago

There are 24 more trucks than twice the number of cars for sale at a dealership. If there are 100 trucks for sale, how many cars

bogdanovich [222]

Answer:

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Plz help me on number 4 thank u so much math people

Anna [14]

A)5.17
B)10.86
<em>I hope this helps</em>

5 0

3 years ago

Which of the following numbers could be the sides of a right triangle. A)8,15,17. B)6,8,12 C)9,11,21 D)4,13,16

ArbitrLikvidat [17]

Answer:

A) 8, 15, 17.

Step-by-step explanation:

Right triangle obey the Pythagorean theorem. Thus, we choose the two smaller numbers (being the cathetus) and if after applying the P. Theorem we get the biggest of each option (the hypotenuse) that means that those numbers could be the sides of a right triangle.

The Pythagorean theorem states that: $a^2+b^2=c^2$