Exploring Surface Area Concepts

This video tutorial explains how to calculate the total surface area of various shapes, including cuboids, triangles, rectangles, and trapeziums. It provides step-by-step examples and practice problems to reinforce understanding. The tutorial covers the calculation of surface areas by finding the area of each face and summing them up. It also includes practice problems for viewers to try on their own, enhancing their problem-solving skills in geometry.

How many faces does a cuboid have?

• 4

• 12

• 6

• 8

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CCSS.3.MD.C.7B

CCSS.4.MD.A.3

What is the formula to calculate the area of a rectangle?

• Length x Width

• Length + Width

• (Length + Width) x 2

• Length / Width

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CCSS.6.G.A.4

For a cuboid with a front face area of 75 cm², what is the area of the back face?

• 150 cm²

• 100 cm²

• 50 cm²

• 75 cm²

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CCSS.6.G.A.4

What is the total surface area of a cuboid with dimensions 15cm by 10cm by 5cm?

• 375 cm²

• 550 cm²

• 750 cm²

• 450 cm²

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CCSS.6.G.A.1

How do you calculate the area of a triangle?

• Base + Height

• (Base + Height) x 2

• (Base x Height) / 2

• Base x Height

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CCSS.7.G.B.6

What is the total surface area of a shape with two identical triangles and three different rectangles?

• 360 cm²

• 291 cm²

• 252 cm²

• 550 cm²

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CCSS.6.G.A.1

How do you calculate the area of a trapezium?

• (Base1 + Base2) x Height

• (Base1 x Base2) / Height

• Base1 + Base2 + Height

• ((Base1 + Base2) / 2) x Height

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CCSS.7.G.B.6

What is the total surface area of a trapezoidal shape with bases 7 cm and 11 cm, height 7 cm, and sides 5 cm and 8 cm?

• 550 cm²

• 291 cm²

• 360 cm²

• 252 cm²

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CCSS.6.G.A.1

If the parallel sides of a trapezium are 6 cm and 9 cm, and the distance between them is 4 cm, what is the area of the trapezium?

• 60 cm²

• 15 cm²

• 30 cm²

• 45 cm²

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CCSS.7.G.B.6

What is the total surface area of a shape with a front and back trapezium, two sides, and different top and bottom areas?

• 360 cm²

• 291 cm²

• 332 cm²

• 260 cm²

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CCSS.7.G.B.6