List these solids in order from the one with least volume to the one with the greatest volume. A. A cube with edge 5 cm B. A cylinder with radius 4 cm and height 4 cm C. A square pyramid with base edges 6 cm and height 6 cm D. A cone with radius 4 cm and height 9 cm E. A rectangular prism with a 5 cm-by-5 cm base and height 6 cm

Answer:The list in order from the one with least volume to the one with the greatest volume iscase C) A square pyramid with base edges 6 cm and height 6 cmcase A) A cube with edge 5 cmcase E) A rectangular prism with a 5 cm-by-5 cm base and height 6 cmcase D) A cone with radius 4 cm and height 9 cm case B) A cylinder with radius 4 cm and height 4 cmStep-by-step explanation:To solve this problem calculate the volume of each solidcase A) A cube with edge 5 cmThe volume of a cube is equal to[tex]V=b^{3}[/tex]whereb is the length side of the cubesubstitute the value[tex]V=5^{3}=125\ cm^{3}[/tex]case B) A cylinder with radius 4 cm and height 4 cmThe volume of a cylinder is equal to[tex]V=\pi r^{2} h[/tex]substitute the value[tex]V=(3.14)(4)^{2} (4)=200.96\ cm^{3}[/tex]case C) A square pyramid with base edges 6 cm and height 6 cmThe volume of a pyramid is equal to[tex]V=\frac{1}{3}Bh[/tex]whereB is the area of the baseh is the height of the pyramidFind the area of the base B[tex]B=6^{2}=36\ cm^{2}[/tex] ----> is a squaresubstitute the values[tex]V=\frac{1}{3}(36)(6)=72\ cm^{3}[/tex]case D) A cone with radius 4 cm and height 9 cm The volume of a cone is equal to[tex]V=\frac{1}{3}Bh[/tex]whereB is the area of the baseh is the height of the coneFind the area of the base B[tex]B=\pi r^{2}=(3.14)(4^{2})=50.24\ cm^{2}[/tex] ----> is a circlesubstitute the values[tex]V=\frac{1}{3}(50.24)(9)=150.72\ cm^{3}[/tex]case E) A rectangular prism with a 5 cm-by-5 cm base and height 6 cmThe volume of a rectangular prism is equal to[tex]V=LWH[/tex]substitute the values[tex]V=(5)(5)(6)=150\ cm^{3}[/tex]thereforeThe list in order from the one with least volume to the one with the greatest volume iscase C) A square pyramid with base edges 6 cm and height 6 cmcase A) A cube with edge 5 cmcase E) A rectangular prism with a 5 cm-by-5 cm base and height 6 cmcase D) A cone with radius 4 cm and height 9 cm case B) A cylinder with radius 4 cm and height 4 cm