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Interactive worksheet for calculating surface area and volume of 3D shapes.

A worksheet titled "Surface area and Volume" featuring geometric shapes (cube, cuboid, cylinder, cone, sphere, hemisphere) with blank boxes for formulas and a list of formulas on the right side to drag and drop.

A worksheet titled "Surface area and Volume" featuring geometric shapes (cube, cuboid, cylinder, cone, sphere, hemisphere) with blank boxes for formulas and a list of formulas on the right side to drag and drop.

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Show Answer Key & Explanations Step-by-step solution for: Surface area and Volume exercise
Here are the correct formulas for each shape, matched to the boxes in your worksheet.

Cube (side length = $a$)
* Total surface Area: $6a^2$
* Volume: $a^3$

Cuboid (length = $l$, breadth = $b$, height = $h$)
* Total surface Area: $2(lb+bh+lh)$
* Volume: $lbh$

Cylinder (radius = $r$, height = $h$)
* Curved surface area: $2\pi rh$
* Total surface Area: $2\pi rh + 2\pi r^2$
* Volume: $\pi r^2 h$

Cone (radius = $r$, slant height = $l$, vertical height = $h$)
* Curved surface area: $\pi rl$
* Total surface Area: $\pi rl + \pi r^2$
* Volume: $1/3 \pi r^2 h$

Sphere (radius = $r$)
* Curved surface area: $4\pi r^2$ (Note: The list says "For curved", but for a sphere, this is also the total area)
* Total surface Area: $4\pi r^2$ (Note: The list says "For Total")
* Volume: $4/3 \pi r^3$

Hemisphere (radius = $r$)
* Curved surface area: $2\pi r^2$
* Total surface Area: $3\pi r^2$
* Volume: $2/3 \pi r^3$

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Final Answer:
Cube: TSA: $6a^2$, Vol: $a^3$
Cuboid: TSA: $2(lb+bh+lh)$, Vol: $lbh$
Cylinder: CSA: $2\pi rh$, TSA: $2\pi rh+2\pi r^2$, Vol: $\pi r^2h$
Cone: CSA: $\pi rl$, TSA: $\pi rl+\pi r^2$, Vol: $1/3 \pi r^2h$
Sphere: CSA: $4\pi r^2$, TSA: $4\pi r^2$, Vol: $4/3\pi r^3$
Hemisphere: CSA: $2\pi r^2$, TSA: $3\pi r^2$, Vol: $2/3 \pi r^3$
Parent Tip: Review the logic above to help your child master the concept of surface area and volume worksheet.
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