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iren [92.7K]
3 years ago
11

The cube with side 2 is cut from the corner of rectangular prism with dimensions 4×3×5. Find the volume and total surface area o

f the new object.
Mathematics
1 answer:
True [87]3 years ago
5 0

Answer:

Volume: 52 Units Squared

Surface Area: 94 units.

Step-by-step explanation:

The volume is relatively simple to find. Just subtract the original volume by the 2x2x2 cube's volume. The original volume is 60. The cube's volume is 2x2x2 which is 8. 60-8=52.

The surface area is harder to find. Try to envision the corner of the rectangle being cut out. We see that each side of the cube has a surface area of 2x2 which is 4. In the picture, we see that three sides of the rectangle has been partially removed. But since each side of the cube has an equal surface area, it is safe to minus 3 of the sides that has been partially removed by 3. However, since that it is the corner, the "dent" that the cube made in the rectangle also needed to be counted. As we said, each of the sides of a cube has a surface area of 4, so since that the dent has 3 sides, we see that the surface area of the dent is 4x3 which is 12. Now we need to count the unaffected sides of the rectangle. There are three of them. Just multiply the edges to find the surface area of each side. Add all of the values up: 11+16+12+8+15+12+20=94 units.

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PLEASE HELP ASAP MIDDLE SCHOOL MATH
GREYUIT [131]

Step-by-step explanation:

area= 1/2 (base1+base²) h

A = {1/2 (5+12)} × 4

A = {1/2 (17)} × 4

A = 8.5×4

A = 34

I think this is right

3 0
3 years ago
Grandma Stella shared her last estate worth $130,000.00 in the ratio of 8:5 between her two children Boyo and Marla respectively
kirill115 [55]

Answer:

50,000.00

Step-by-step explanation: x/130,000.00=5/8+5

13x650,000.00

x=50,000.00

6 0
3 years ago
The length of a rectangle is shown below: On a coordinate grid from negative 6 to positive 6 on the x-axis and on the y-axis two
Degger [83]

9514 1404 393

Answer:

  3.  C(−1, −5), D(2, −5)

Step-by-step explanation:

The given points are 2 -(-1) = 3 units apart horizontally, so the remaining points will need to be 18/3 = 6 units below, vertically. Translating the given points down 6 gives ...

  D = A -(0, 6) = (2, 1) -(0, 6) = (2, -5)

  C = B -(0, 6) = (-1, 1) -(0, 6) = (-1, -5)

The two points required to make a rectangle with an area of 18 square units are ...

  C(-1, -5), D(2, -5)

_____

The area of a rectangle is the product of length and width. If the area is 18 square units, and the width is 3 units, then the length must be 6 units. 3×6=18.

5 0
3 years ago
Determine the measure of each indicated angle. Show all necessary steps!
Rasek [7]

a)

We know that a 4-sided polygon's angles add up to 360 degrees

so to find x:

360-(69+118+84)=89 degrees

b)

For a 4-sided polygon we also know that the outside angles add up to 360 degree.

so to find p:

360-(100+62+106)=92 degrees

Hope it helps!

3 0
2 years ago
<img src="https://tex.z-dn.net/?f=%5Csqrt25" id="TexFormula1" title="\sqrt25" alt="\sqrt25" align="absmiddle" class="latex-formu
anzhelika [568]

Answer:

Rational

Step-by-step explanation:

The square root of 25 is 5, which is a rational number.

4 0
3 years ago
Read 2 more answers
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