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D. development
learning task 1:
give what is asked in the following questions.
1. the volume of a cube with a 9 m side.
2. the volume of a cube with an 8 in side.
3. the side of the cube with a volume of 343 cu. Ft
4. the side of the cube with the volume of 361 cu. cm
5. the volume of the rectangular solid with dimensions 3 in X 4 in X 7 in​

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KAntoineDoixviz

✏️VOLUMES

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[tex] \large \bold{\blue{DIRECTIONS:}} [/tex] Give what is asked in the following questions.

#1: The volume of a cube with a 9 m side.

  • [tex] \sf V = s^3 [/tex]

  • [tex] \sf V = (9m)^3 [/tex]

  • [tex] \sf V = 729m^3 [/tex]

[tex] \large \therefore \underline{\boxed{\tt \purple{Volume = 729 \: cu. \: meters}}} [/tex]

[tex] \: [/tex]

#2: The volume of a cube with an 8 in side.

  • [tex] \sf V = s^3 [/tex]
  • [tex] \sf V = (8in)^3 [/tex]

  • [tex] \sf V = 512in^3 [/tex]

[tex] \large \therefore \underline{\boxed{\tt \purple{Volume = 512 \: cu. \: inches}}} [/tex]

[tex] \: [/tex]

#3: The side of the cube with a volume of 343 cu. ft

  • [tex] \sf s = \sqrt[3]{V} [/tex]
  • [tex] \sf s = \sqrt[3]{343ft^3} [/tex]

  • [tex] \sf s = 7ft [/tex]

[tex] \large \therefore \underline{\boxed{\tt \purple{side = 7 \: feet}}} [/tex]

[tex] \: [/tex]

#4: The side of the cube with the volume of 361 cu. cm

  • [tex] \sf s = \sqrt[3]{V} [/tex]

  • [tex] \sf s = \sqrt[3]{361cm^3} [/tex]

  • [tex] \sf s = 7.12cm [/tex]

[tex] \large \therefore \underline{\boxed{\tt \purple{side = 7.12 \: centimeters}}} [/tex]

[tex] \: [/tex]

#5: The volume of the rectangular solid with dimensions 3in × 4in × 7in

  • [tex] \sf V = l \cdot w \cdot h [/tex]
  • [tex] \sf V = 3in \cdot 4in \cdot 7in [/tex]

  • [tex] \sf V = 12in^2 \cdot 7in [/tex]

  • [tex] \sf V = 84in^3 [/tex]

[tex] \large \therefore \underline{\boxed{\tt \purple{Volume = 84 \: cu. \: inches}}} [/tex]

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