Mathematics, 01.01.2020 03:31 sonnyboi2305

The three-dimensional figure below is a solid rectangular prism with a hole in the shape of another rectangular prism going through the center of it. find the volume of the solid in cubic centimeters.
(full question above)

The three-dimensional figure below is a solid rectangular prism with a hole in the shape of another

Answers: 2

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Answers

Answer from: niicoleassssssf

96 cubic

Step-by-step explanation: vol of rectangular prism = length * breadth * height

Vol(rectangular prism - small rect prism)=

108-12= 96

Answer from: choiboiqg7084

96 cubic centimeters

Step-by-step explanation:

The formula of a volume of a rectangular prism:

$V=l\cdot w\cdot h$

l - length

w - width

h - height

We have:

Bigg prism

$l=3cm,\ w=3cm,\ h=12cm$

$V_B=(3)(3)(12)=108\ cm^3$

Small prism:

$l=1cm,\ w=1cm,\ h=12cm$

$V_S=(1)(1)(12)=12\ cm^3$

The volume of the solid:

$V=V_B-V_S\\\\V=108-12=96\ cm^3$

Answer from: Quest

2 apples

step-by-step explanation:

taking away equals subtraction. 6-4=2

Answer from: Quest

x= 1

step-by-step explanation: convert 5\frac{11}{12}5

to improper fraction. use this rule: a \frac{b}{c}=\frac{ac+b}{c}a

ac+b

3.25+0.5x+1\frac{1}{3}+\frac{5}{6}x=\frac{5\times 12+11}{12}3.25+0.5x+1

5×12+11

2 simplify 5\times 125×12 to 6060

3.25+0.5x+1\frac{1}{3}+\frac{5}{6}x=\frac{60+11}{12}3.25+0.5x+1

60+11

3 simplify 60+1160+11 to 7171

3.25+0.5x+1\frac{1}{3}+\frac{5}{6}x=\frac{71}{12}3.25+0.5x+1

4 simplify \frac{5}{6}x

x to \frac{5x}{6}

3.25+0.5x+1\frac{1}{3}+\frac{5x}{6}=\frac{71}{12}3.25+0.5x+1

5 convert 1\frac{1}{3}1

to improper fraction. use this rule: a \frac{b}{c}=\frac{ac+b}{c}a

ac+b

3.25+0.5x+\frac{1\times 3+1}{3}+\frac{5x}{6}=\frac{71}{12}3.25+0.5x+

1×3+1

6 simplify 1\times 31×3 to 33

3.25+0.5x+\frac{3+1}{3}+\frac{5x}{6}=\frac{71}{12}3.25+0.5x+

3+1

7 simplify 3+13+1 to 44

3.25+0.5x+\frac{4}{3}+\frac{5x}{6}=\frac{71}{12}3.25+0.5x+

8 simplify 3.25+0.5x+\frac{4}{3}+\frac{5x}{6}3.25+0.5x+

to \frac{13.75}{3}+\frac{4x}{3}

13.75

\frac{13.75}{3}+\frac{4x}{3}=\frac{71}{12}

13.75

9 simplify \frac{13.75}{3}

13.75

to 4.5833334.583333

4.583333+\frac{4x}{3}=\frac{71}{12}4.583333+

10 subtract 4.5833334.583333 from both sides

\frac{4x}{3}=\frac{71}{12}-4.583333

−4.583333

11 simplify \frac{71}{12}-4.583333

−4.583333 to \frac{4}{3}

\frac{4x}{3}=\frac{4}{3}

12 multiply both sides by 33

4x=\frac{4}{3}\times 34x=

×3

13 simplify \frac{4}{3}\times 3

×3 to \frac{12}{3}

4x=\frac{12}{3}4x=

14 simplify \frac{12}{3}

to 44

4x=44x=4

15 divide both sides by 44

x=1

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More questions: Mathematics Another questions

The three-dimensional figure below is a solid rectangular prism with a hole in the shape of another rectangular prism going through the center of it. find the volume of the solid in cubic centimeters. (full question above)

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Another question on Mathematics

The three-dimensional figure below is a solid rectangular prism with a hole in the shape of another rectangular prism going through the center of it. find the volume of the solid in cubic centimeters.
(full question above)