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Luda [366]
3 years ago
6

Sarah received a gift in a rectangular box with a volume of 240 in3. If the base of the box was 20 in2, how tall was the box?

Mathematics
2 answers:
Murrr4er [49]3 years ago
8 0
V = l * w * h
240 = 20* h
divide both sides by 20
12 = h
height = 12 inches
Ket [755]3 years ago
5 0

Answer: 12 in.

Step-by-step explanation:

We know that the volume of a rectangular prism is given by :-

\text{Volume}=\text{Base area}\times \text{height}

Since, the volume of the rectangular box = 240\ in^3

The base area of the box = 20\ in^2

Let h be the height of the box.

Substitute these values in the above formula , we get

\text{240}=20\times h\\\\\Rightarrow\ h=\frac{240}{20}=12\ in.

Hence, the height of the box = 12 in.

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Use a paragraph, flow chart, or two-column proof to prove the angle congruency. Given: ∠ CXY ≅ ∠ BXY
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Answer:

See explanation

Step-by-step explanation:

Consider triangles CAX and BAX. In these triangles,

  • \overline{AC}\cong \overline{AB} - given
  • \angle CAX\cong \angle BAX - given
  • \overline{AX}\cong \overline{AX} - reflexive property

By SAS postulate, \triangle CAX\cong \triangle BAX

Congruent triangles have conruent corresponding parts. So,

\overline{CX}\cong \overline{BX}

Consider triangles CXY and BXY. In these triangles,

  • \overline{CX}\cong \overline{BX} - proven
  • \angle CXY\cong \angle BXY - given
  • \overline{XY}\cong \overline{XY} - reflexive property

By SAS postulate, \triangle CXY\cong \triangle BXY

Congruent triangles have conruent corresponding parts. So,

\angle XCY\cong \angle XBY

5 0
3 years ago
Melissa is stacking storage cubes in a crate the bottom of the crate is 8 inches by 12 inches. The volume of the crate is 768 cu
Karo-lina-s [1.5K]

Answer:

12 cubes can fit in the create.

Step-by-step explanation:

We know that the volume of a the crate is 768 in³, and the definition of the volume is:

V=A*h

Where:

  • V is the volume
  • A is the area (A=8*12 in²)
  • h is the height

So h=\frac{V}{A}=\frac{768}{12*8}=8 in    

Now, we know that the storage cube has a length of 4 in so we have a volume equal to 64 in³. Therefore we just need to divide 768 in³ by 64 in³ it is 12.

Finally, 12 cubes can fit in the create.

I hope it helps you!    

3 0
4 years ago
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3 years ago
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Fittoniya [83]
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4 0
3 years ago
What is Esthers error
MAXImum [283]

Answer:

Esther didn't divide the area of the faces by 2.

The correct surface area is 72 cm^2

Step-by-step explanation:

Esther didn't divide the area of the faces by 2.

The correct surface area is:

(4 * 4) + 4((4 * 7)/2)

16 + 4(28/2)

16 + 4(14)

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6 0
3 years ago
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