Question

Angie is determining the volume of a box in the shape of a rectangular prism. She finds the length is 2cm more than the width and 3 cm less than the depth. Which equation can Angie use to get the volume of the box, in cubic centimeters?
A. V = w(w+2)(w+3)
B. V = w(w+2)(w+5)
C. V = w(w-2)(w-3)
D. V = (w+2)(w+5)

Answers

  1. The volume of a box in the shape of a rectangular prism is y³ +7y² +10y cm³.
    What is a rectangular Prism ?
    A polyhedron with two congruent and parallel bases is known as a rectangular prism. It’s also known as a cuboid.
    A rectangular prism has six faces, each of which is in the shape of a rectangle and has twelve edges. It’s called a prism because of its cross-section along its length.
    It is given that length of the rectangular prism has length of 2 cm more than  the width and 3 cm less than the depth
    Let the depth be x cm
    and width be y cm
    Then the length will be y+2 cm and x-3 cm
    y+2 = x- 3
    x = y+5
    A rectangular prism is a cuboid with six faces
    Volume of a rectangular prism can be written as
    length * width * depth
    = (y+2) *x*y
    = (y+2)* (y+5)*y
    = (y²+2y)(y+5)
    = y³ +5y²+2y²+10y
    = y³ +7y² +10y cm³
    Therefore the volume of a box in the shape of a rectangular prism is y³ +7y² +10y cm³.
    To know more about Rectangular Prism
    brainly.com/question/21308574
    #SPJ4

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