A cuboid tank measuring 5 m by 3 m by 10 m is filled with water. This water is then poured into cube tanks of sides 2 m. How many tanks can be filled completely?
18 tanks
18.75 tanks
19 tanks
Questions 2 - 10 are for Intermediate and Higher tier
The surface area of one cube is 48 mm3. Three cubes are stuck together as shown. What is the surface area of the new shape?
144 mm2
128 mm2
112 mm2
This graphic will help you answer questions 3 and 4:
What is the volume of the triangular prism?
276 m3
168 m3
138 m3
What is the surface area of the triangular prism?
329 m2
352 m2
316 m2
This graphic will help you answer questions 5 and 6:
This terrarium has a square base of length 8 cm and a height of 12 cm. Each triangular side is the same size.
If the plants inside take up 132 cm3, how much unoccupied space is there inside?
124 cm3
636 cm3
256 cm3
What is the surface area of the pyramid including the base?
202 cm2
256 cm2
266 cm2
This graphic will help you answer questions 7 and 8:
The sketch shows the dimensions of a model house to be constructed out of cardboard.
What is the surface area of the model house?
2,320 cm2
3,020 cm2
3,370 cm2
What is the volume of the model house?
10,500 cm3
14,000 cm3
1,050 cm3
This graphic will help you answer questions 9 and 10:
An ice cream cone is filled with ice cream and finished in a hemisphere. The diameter of the cone is 5 cm and the total height of the ice cream is 14 cm.
What is the volume of ice cream used? Give your answer to the nearest cm3.
141 cm3
108 cm3
What is the surface area of the ice cream including the cone? Give your answer to one decimal place.
131.7 cm2
171.0 cm2
129.6 cm2