Volume and Surface Area and Composite Area Test

1. Mason needs to purchase new glass for the window pictured here.  About how many square feet of glass will he need to purchase? 

• 20 ft²
• 13 ft²
• 26 ft²
• 41 ft²

2. The figure shows a circle inside a triangle.  Which equation could be used to find the area of the shaded region?

• A = ½bh - 2πr
• A = πr² - ½bh
• A = ½bh - πd
• A = ½bh - πr²

3. At a restaurant, a waiter pushed 4 identical square tables together as shown in the diagram. The width of each table is 5 feet.  Which of the following methods could the waiter use to   determine the total serving area created by the 4 square tables?

• Multiply 5 by 5, then multiply the product by 4.
• Multiply 5 by 5, then multiply the product by 5.
• Add 4 plus 4, then multiply the sum by 5.
• Multiply 4 by 5, then add 4 to the product.

6. The figure shows 2 circles inside a trapezoid.
Which procedure should be used to find the area of the shaded region?

• Subtract the perimeter of the trapezoid from the area of both circles.
• Subtract the circumference of both circles from the area of the trapezoid.
• Subtract the area of the trapezoid from the area of both circles.
• Subtract the area of both circles from the area of the trapezoid.

Jose made the following composite shape using a rectangle and a trapezoid.  What is the total area of the composite shape?

• 64 ft²
• 88 ft²
• 110.4 ft²
• 76 ft²

The net of a square pyramid is shown in the diagram. What is the total surface area of the square pyramid in square inches?

• 288 in²
• 208 in²
• 352 in²
• 144 in²

 What is the area of the arrow?

• 17 in2
• 40 in2
• 52 in2
• 61 in2

On a trip to Oregon, Sabrina bought a small stone in the shape of a square pyramid as a souvenir. Determine the volume of the stone. Round to the nearest tenth. 

• 4.5 in ³
• 6 in ³
• 6.75 in ³
• 1.5 in ³

Find the volume.

• 147
• 588
• 84
• 294

What does the "B" in the volume formula V = B x h stand for?

• Bottom of the object
• Box
• Between
• Area of the base