Solving Problems (Leaving Cert Mathematics): Quizzes

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Solving Area/Volume Problems
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Which of these is a 2D shape?

Triangle

Which of these is a 3D shape?

Cylinder

What units should be used for area?

Square units

What units should be used for volume?

Cubic units

What is the formula for the area of a triangle?

12×Base×Height\frac{1}{2} \times \text{Base} \times \text{Height}

What is the formula for the area of a trapezium?

12(Base1+Base2)×Height\frac{1}{2}(\text{Base}_1+\text{Base}_2)\times\text{Height}

What is the formula for the volume of a cylinder?

πr2h\pi r^2 h

What is the formula for the volume of a sphere?

43πr3\frac{4}{3} \pi r^3

What is the surface area formula for a hemisphere?

2πr22\pi r^2

Find the area of a trapezium: bases 10cm10\,\text{cm} and 14cm14\,\text{cm}, height 8cm8\,\text{cm}

96cm296\,\text{cm}^2

Find volume of cylinder: radius 5cm5\,\text{cm}, height 10cm10\,\text{cm} (use π3.142\pi \approx 3.142)

785.40cm3785.40\,\text{cm}^3

What is the first step when solving area/volume problems?

Identify the given values

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