Question

ILL MARK BRAINLYIST PLEASE ILL DO ANYTHING ILL GOVE 50 POINTSSSSSS
3 cm
2cm
2 cm
5 cm
1/cm
Find the volume of the complex figure. Round your answer to the nearest whole number.

Answer 1

Answer:

14 cm²

Step-by-step explanation:

Volume of rectangular prism:

           l = length of rectangular prism = 3 cm

           w = width of rectangular prism = 2 cm

           $\sf \text{\sf h =height of the rectangular prism = \sf 1\dfrac{1}{2} =\dfrac{3}{2} \ cm }$

         $\boxed{\text{\bf Volume of rectangular prism = l *w *h}}$

                                                                $\sf = 3 * 2 * \dfrac{3}{2}\\\\\\=3*3\\\\= 9 \ cm^2$

Volume of triangular prism:

             $\text{\sf base = 2\dfrac{1}{4} = \dfrac{9}{4} \ cm }$

         altitude = 3 cm

         $\text{Area of triangle = \dfrac{1}{2}*base*altitude }$

                                    $\sf =\dfrac{1}{2}* 3*\dfrac{9}{4}\\\\\\=\dfrac{27}{8}\\\\= 3.375 \ cm^2$

     $\text{\sf height of the triangular prism = H = 1\dfrac{1}{2}=\dfrac{3}{2} \ cm }$

           $\boxed{\text{\bf Volume of triangular prism = area of triangle * H}}$

                                                                $\sf = 3.375 * \dfrac{3}{2}\\\\\\= 5.0625 \\\\= 5 \ cm^2$

Volume of the complex figure:

 To find the volume of complex figure, add the volume of rectangular prism and volume of the triangular prism.

    Volume of the complex figure = 9 +5

                                                       = 14 cm²