12 6Th Grade Math Worksheet Area Valume - Free Printable

$12 6Th Grade Math Worksheet Area Valume$

Educational worksheet: 12 6Th Grade Math Worksheet Area Valume. Download and print for classroom or home learning activities.

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Show Answer Key & Explanations Step-by-step solution for: 12 6Th Grade Math Worksheet Area Valume

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Here are the step-by-step solutions for each problem on the worksheet.

1 a. Find the surface area of this rectangular prism.

* Dimensions: Length = 7, Width = 3, Height = 5
* Formula: Surface Area = $2(lw + lh + wh)$
* Step 1: Calculate the area of the three pairs of faces.
* Front/Back: $7 \times 5 = 35$
* Top/Bottom: $7 \times 3 = 21$
* Sides: $3 \times 5 = 15$
* Step 2: Add them together: $35 + 21 + 15 = 71$
* Step 3: Multiply by 2 (because there are two of each face): $71 \times 2 = 142$

1 b. Find the volume of this rectangular prism.

* Dimensions: Length = 7, Width = 5, Height = 8
* Formula: Volume = $Length \times Width \times Height$
* Calculation: $7 \times 5 \times 8$
* $7 \times 5 = 35$
* $35 \times 8 = 280$

2 a. Find the volume of this rectangular prism.

* Dimensions: Length = 8, Width = 5, Height = 7
* Formula: Volume = $Length \times Width \times Height$
* Calculation: $8 \times 5 \times 7$
* $8 \times 5 = 40$
* $40 \times 7 = 280$

2 b. Find the surface area of this rectangular prism.

* Dimensions: Length = 7, Width = 2, Height = 8
* Formula: Surface Area = $2(lw + lh + wh)$
* Step 1: Calculate the area of the three pairs of faces.
* Front/Back: $7 \times 8 = 56$
* Top/Bottom: $7 \times 2 = 14$
* Sides: $2 \times 8 = 16$
* Step 2: Add them together: $56 + 14 + 16 = 86$
* Step 3: Multiply by 2: $86 \times 2 = 172$

3 a. Find the surface area of this rectangular prism.

* Dimensions: Length = 4, Width = 1, Height = 8
* Formula: Surface Area = $2(lw + lh + wh)$
* Step 1: Calculate the area of the three pairs of faces.
* Front/Back: $4 \times 8 = 32$
* Top/Bottom: $4 \times 1 = 4$
* Sides: $1 \times 8 = 8$
* Step 2: Add them together: $32 + 4 + 8 = 44$
* Step 3: Multiply by 2: $44 \times 2 = 88$

3 b. Find the surface area of this rectangular prism.

* Dimensions: Length = 5, Width = 4, Height = 1
* Formula: Surface Area = $2(lw + lh + wh)$
* Step 1: Calculate the area of the three pairs of faces.
* Front/Back: $5 \times 1 = 5$
* Top/Bottom: $5 \times 4 = 20$
* Sides: $4 \times 1 = 4$
* Step 2: Add them together: $5 + 20 + 4 = 29$
* Step 3: Multiply by 2: $29 \times 2 = 58$

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Final Answer:
1 a. 142
1 b. 280
2 a. 280
2 b. 172
3 a. 88
3 b. 58

Parent Tip: Review the logic above to help your child master the concept of math worksheet area and volume.

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