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A cuboid has a volume of 40 cm³, length of 8 cm and height of 2 cm. Calculate the width (y) in cm.

Mathematics

ScanSolve AI Answer

Answer

y=2.5 cmy = 2.5 \text{ cm}

Step-by-step solution

4 steps
  1. Recall the formula for the volume of a cuboid.

    The volume VV of a cuboid is given by the product of its length, width, and height.

    V=l×w×hV = l \times w \times h
  2. Substitute the given values into the formula.

    We are given V=40 cm3V = 40 \text{ cm}^3, length l=8 cml = 8 \text{ cm}, height h=2 cmh = 2 \text{ cm}, and the unknown width w=y cmw = y \text{ cm}.

    40 cm3=8 cm×y cm×2 cm40 \text{ cm}^3 = 8 \text{ cm} \times y \text{ cm} \times 2 \text{ cm}
  3. Simplify the equation.

    40=16y40 = 16y
  4. Solve for yy.

    Divide both sides by 16.

    y=4016y = \frac{40}{16} y=52y = \frac{5}{2} y=2.5y = 2.5

    The value of yy is 2.5 cm2.5 \text{ cm}.

    y=2.5 cmy = 2.5 \text{ cm}
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