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Questions on file. Pls halp

Questions on file. Pls halp-example-1
Questions on file. Pls halp-example-1
Questions on file. Pls halp-example-2
User HannaY
by
3.2k points

2 Answers

4 votes

Answer:

1)

V = l * w * h

7/4 * 3/2 * 1/2 = 21/16 cm^3

2)

A = a+b ÷ 2 * h

6 + 4 = 10 ÷ 2 = 5

5 * 3 = 15 ft^2

User Kiefer
by
3.4k points
1 vote


\large{ \tt{❋ \: EXPLANATION}} :

  • The formula to find out the volume of a rectangular prism is V = l × b × h where V is the volume , l = length , b = breadth & h = height.

  • We're provided the figure of trapezium in the second attachment. The formula to fInd out the area of trapezium is A =
    \tt{ (1)/(2) h(a + b)} where a and b are the opposite parallel sides and h be the height of a trapezium.


\large{ \tt{❃ \: SOLUTION}} :

  • In the first picture , we're provided - Length ( l ) =
    (7)/(4) cm , breadth ( b ) =
    (3)/(2) cm and height ( h ) =
    (1)/(2) cm. Now, plug these known values and them find out the volume of given rectangular prism.


\large{ \tt{❁ \: VOLUME \: OF \: RECTANGULAR \: PRISM \: ( \: V \: ) = l * b * h}}


\large{ {⟶ \: (7)/(4) * (3)/(2) * (1)/(2) }}

  • To multiply one fraction by another , multiply the numerators for the numerator and multiply the denominator for its denominator and reduce the fraction obtained after multiplication into lowest term if possible.


\large{ ⟶ (7 * 3 * 1)/(4 * 2 * 2) }


\large{⟶ (21)/(16) \tt{ {cm}^(3) }}

  • Hence , the volume is
    \boxed{ (21)/(16) } cubic centimetres.

--------------------------------

  • In the second attachment , we're provided - 6ft and 7 ft are the opposite parallel sides and 3 ft is the height of the given trapezium.


\large{ \tt{✺ \: AREA \: OF \: A \: TRAPEZIUM = (1)/(2) h(a + b)}}


\large{ ⟶ (1)/(2) * 3(6 + 7)}


\large{⟶ \: (1)/(2) * 3 * 13 }


\large{⟶ (39)/(2) \tt{cm}^(2) }

  • Hence , The area of trapezium is
    \boxed{ (39)/(2) \tt{cm}^(2) }

And we're done ! ♪


\large{ \# \: \mathfrak{StayInAndExplore \:☂ }}

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User Kusma
by
3.3k points