Question

Questions on file. Pls halp

Answer 1

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

Answer 2

$\large{ \tt{❋ \: EXPLANATION}} :$

• 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 = $\tt{ \frac{1}{2} h(a + b)}$ 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 ) = $\frac{7}{4}$ cm , breadth ( b ) = $\frac{3}{2}$ cm and height ( h ) = $\frac{1}{2}$ cm. Now, plug these known values and them find out the volume of given rectangular prism.

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

$\large{ {⟶ \: \frac{7}{4} \times \frac{3}{2} \times \frac{1}{2} }}$

• 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.

$\large{ ⟶ \frac{7 \times 3 \times 1}{4 \times 2 \times 2} }$

$\large{⟶ \frac{21}{16} \tt{ {cm}^{3} }}$

• Hence , the volume is $\boxed{ \frac{21}{16} }$ 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.

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

$\large{ ⟶ \frac{1}{2} \times 3(6 + 7)}$

$\large{⟶ \: \frac{1}{2} \times 3 \times 13 }$

$\large{⟶ \frac{39}{2} \tt{cm}^{2} }$

• Hence , The area of trapezium is $\boxed{ \frac{39}{2} \tt{cm}^{2} }$

And we're done ! ♪

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

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