Physical quantities - math word problems - page 160 of 177
Number of problems found: 3535
- Triangular prism
The regular triangular prism has a base edge of 8.6 dm and a height of 1.5 m. Find its volume and surface area. - A bus 3
A bus has a petrol tank in the shape of a cylinder. The cylinder is 125 cm long and has a diameter of 42 cm. (i) How much will a full tank of petrol cost at the rate of 5.23 per liter? (ii) If the bus uses petrol at 12.5 liters for every 50 km, how far ca - Pyramid volume surface
Find the volume and surface area of a regular quadrilateral pyramid ABCDV if its leading edge has a length a = 10 cm and a body height h = 12 cm. - There 26
There are 200 sweets in a jar, measured to the nearest 10. They weigh 600 grams to the nearest 10 grams. What is the least possible mass of each sweet in grams? 2 d. p - Restaurant waiter guests
The restaurant was fully booked at lunchtime. While only three waiters staffed the restaurant, guests waited an average of 45 minutes for the lunch menu. On average, how many minutes will the guests wait if the three waiters are joined by two more waiters - Cylinder volume ratio
Calculate the cylinder's volume if you know that the ratio of the cylinder's height to the base's radius is 3:2 and the height is 15 dm. - A cone
A cone measures 6 inches in diameter at the base. The distance from the edge of the circumference to the top is 12 inches. Find its volume. - Axial section
Calculate the volume and surface of a cone whose axial section is an equilateral triangle with side length a = 18 cm. - Cube paper
How much paper was spent on gluing 12 fairy-tale children's cubes with an edge 3.8 cm long? - Circumference of edges
The hexagon pyramid has a circumference of 120 cm, and the length of the side edge is 25 cm. Calculate its volume. - Hexagonal wax
The candle is made from wax in the shape of a regular hexagonal pyramid. It has a height of 6.5 cm and a length of the base edge of 3 cm. Find the volume of wax. - Polygon 3
Polygon ABCD is dilated, rotated, and translated to form polygon QWER. The endpoints A and B are at (0, -7) and (8, 8), and the endpoints QW are at (6, -6) and (2, 1.5). What is the scale factor of the dilation? - Block edge change
The block has 10 cm, 20 cm, and 50 cm dimensions. We reduce the first edge of the cuboid by 20% and increase the second by 20%. How does the volume of the cuboid change? By how many percent? - Cornbreads
If four and a half teaspoons of baking powder are needed to make ten servings of cornbread, how many teaspoons are needed to make 25 servings? - Assume
Two naughty boys broke the glass in a front door. The glass measured 105 cm × 150 cm and was 6 mm thick. They decided to pay for the glass from their savings and, assuming it would weigh no more than 12 kg, planned to carry it and ask the caretaker to ins - Wallpaper - box network
How much dm² of wallpaper is needed to stick a box (without a lid) in the shape of a cube with an edge of 12 dm? - Cuboid surface area
Calculate the surface area of a cuboid with dimensions 54.5 cm, 12.7 cm, and 32.3 cm. Express the result in square dm. - Cube seat fabric
How much fabric will be needed to cover 12 cube-shaped seats with a 40 cm edge? - Calculate
Calculate the height of a tree that casts a shadow 22 m long if you know that at the same time, a pillar 2 m high casts a shadow 3 meters long. - Triangle and Cone
A right triangle has legs 3 cm and 4 cm long. Cone A was created by rotating this triangle around the longer leg, and cone B by rotating it around the shorter leg. Which cone has: a) a larger volume? b) a smaller lateral surface area? c) a larger total su
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