A rectangular pyramid fits exactly on top of a rectangular prism. The prism has length 15 cm, width 5 cm, and height 7 cm, and the

Question

A rectangular pyramid is placed exactly on top of a rectangular prism. The prism has dimensions of length 15 cm, width 5 cm, and height 7 cm. What is the volume of the pyramid, assuming its base is congruent to the top face of the prism?

Anonymous · Accepted Answer

D. Step-by-step explanation: We have been given that a rectangular pyramid fits exactly on top of a rectangular prism. The prism has length 15 cm, width 5 cm, and height 7 cm, and the pyramid has height 13 cm.  The volume of the composite figure will be equal to the volume of rectangular pyramid plus the volume of rectangular prism.   , where,l = Length,w = Width,h = Height   Therefore, the volume of composite figure will be 850 cubic cm and option D is the correct choice.

Kayley Kunde · Answer

Volume of composite figure =  850 cubic cm.Step-by-step explanation:Given : A rectangular pyramid fits exactly on top of a rectangular prism. The prism has length 15 cm, width 5 cm, and height 7 cm, and the pyramid has height 13 cm. To find  : Find the volume of the composite space figure.Solution : We have given that Prism length 15 cm Width =  5 cm.Height = 7 cm. pyramid height = 13 cmWidth = 5 cmLength = 15 cm.Volume of composite space = volume of prism + volume of pyramid .Volume of composite space = (l* b * h )+( .Plugging the values of length , width , heightVolume of composite figure = ( 15* 5 *7 ) +( tex]frac{1}{3} 15 * 5 * 13)[/tex] .Volume of composite figure = (525 ) +( 325)Volume of composite figure =  850 cubic cm.Therefore, Volume of composite figure =  850 cubic cm.

Anonymous · Answer

Volume of figure = volume of prism + volume of pyramidVolume of figure = l x b x h + 1/3 x l x b x hVolume of figure = 15 x 5 x 7 + 1/3 x 15 x 5 x 13Volume of figure = 525 + 325 = 850 cm^3

Anonymous · Answer

Your answer will be A) 1500cm^3hope that helps!!:)

Anonymous · Answer

Volume of composite space = 850cm³Step-by-step explanation:For Prism, Length l = 15 cmWidth w = 5 cmHeight Hpr = 7 cmAs Rectangular pyramid fits exactlyon top of the prism, length and width of prism is same for the base of the pyramid.for PrismLength l =15cmwidth w = 5cmheight Hpy = 13 cmVolume of compoite space = Volume of prism + Volume of PyramidVolume of Prism Vpr = l × w × h∴ Vpr =  15 × 5 × 7∴ Vpr = 525 cm³   (1) Volume of rectangular Pyramid Vpy = (l×w×h) / 3∴ Vpy = (15 × 5 × 13) ÷ 3∴ Vpy = 325 cm³  (2)From 1 and 2, Volume of composite space,V = Vpr + Vpy∴ V = 525 + 325 = 850∴ V = 850 cm³

Anonymous

A rectangular pyramid fits exactly on top of a rectangular prism. The prism has length 15 cm, width 5 cm, and height 7 cm, and the

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