# Four prisms

Question No. 1: The prism has the dimensions a = 2.5 cm, b = 100 mm, c = 12 cm. What is its volume?

a) 3000 cm

b) 300 cm

c) 3000 cm

d) 300 cm

Question No.2: The prism base is a rhombus with a side length of 30 cm and a height of 27 cm. The height of the prism is 5 dm. What is the volume of the prism?

a) 20 250

b) 450

c) 40,500

d) 4,050

Question No.3: A regular square prism with a square base has a volume of 63 cm

a) 756

b) 102

c) 63

d) 414

Question No.4: Calculate the surface of a square prism high vh = 2 dm, the base of which is a trapezoid with bases z1 = 10cm, z2 = 8cm, height v = 4cm and with arms long r1 = r2 = 5cm.

a) 128 cm

b) 596 cm

c) 632 cm

d) 532 cm

a) 3000 cm

^{2}b) 300 cm

^{2}c) 3000 cm

^{3}d) 300 cm

^{3}Question No.2: The prism base is a rhombus with a side length of 30 cm and a height of 27 cm. The height of the prism is 5 dm. What is the volume of the prism?

a) 20 250

b) 450

c) 40,500

d) 4,050

Question No.3: A regular square prism with a square base has a volume of 63 cm

^{3}and a height of 7 cm. Calculate its surface.a) 756

b) 102

c) 63

d) 414

Question No.4: Calculate the surface of a square prism high vh = 2 dm, the base of which is a trapezoid with bases z1 = 10cm, z2 = 8cm, height v = 4cm and with arms long r1 = r2 = 5cm.

a) 128 cm

^{2}b) 596 cm

^{2}c) 632 cm

^{2}d) 532 cm

^{2}### Correct answer:

Tips for related online calculators

Do you want to convert area units?

Do you know the volume and unit volume, and want to convert volume units?

Do you know the volume and unit volume, and want to convert volume units?

#### You need to know the following knowledge to solve this word math problem:

**algebra**- expression of a variable from the formula
**solid geometry**- cuboid
- surface area
- prism
**planimetrics**- area of a shape
- trapezoid
- square
- rhombus

#### Units of physical quantities:

#### Grade of the word problem:

## Related math problems and questions:

- Salami

We have six kinds of salami that have ten pieces and one kind of salami that has four pieces. How many ways can we distinctly choose five pieces of salami? - Square prism

Calculate the volume of a four-sided prism 2 dm high, and the base is a trapezoid with bases of 12 cm, 6 cm, the height of 4 cm, and 5 cm long arms. - Trapezoidal 24731

Calculate how many candies fit in a box shaped like a 4-sided prism with a trapezoidal base with base dimensions of 20 cm and 3.2 cm. The distance between the bases is 50 mm. The container is 32 cm high, and 1 candy occupies 2.5 cm³ of volume. - Trapezoidal 46701

The prism with a trapezoidal base has the dimensions of the base a = 10 cm, b = d = 5 cm, c = 6 cm, the trapezoid height is 4.6 cm, and the height of the prism is 30 cm. Calculate its surface. - Z-score

The mean adult male pulse rate is 67.3 beats per minute, with a standard deviation of 10.3. Find the z-score for an adult male's pulse rate of 75. (Round the z-score to two decimal places. ) - Quadrangular prism

The quadrangular prism has a volume of 648 cm³. Trapezoid which is its base has the dimensions bases: a = 10 cm, c = 5 and height v = 6 cm. What is the height of the prism? - The regular

The regular triangular prism has a base in the shape of an isosceles triangle with a base of 86 mm and 6.4 cm arms, the height of the prism is 24 cm. Calculate its volume. - N percentille problem

Here is a data set (n=117) that has been sorted. 10.4 12.2 14.3 15.3 17.1 17.8 18 18.6 19.1 19.9 19.9 20.3 20.6 20.7 20.7 21.2 21.3 22 22.1 22.3 22.8 23 23 23.1 23.5 24.1 24.1 24.4 24.5 24.8 24.9 25.4 25.4 25.5 25.7 25.9 26 26.1 26.2 26.7 26.8 27.5 27.6 2 - Calculate 67794

Calculate the volume of the cuboid in the given unit if you know the lengths of its edges. A) a = 20 cm, b = 3 cm, c = 7 cm, (length) B) a = 10 mm, b = 8 mm, c = 9 mm, (ml) C) a = 30 cm, b = 5 cm, c = 8 cm, (l) D) a = 300 mm, b = 4 m, c = 7 dm, (hl) - Calculate

Calculate the surface of a regular eleven-sided prism; if the area of its base is 58 cm^{2}, the edge of the base is 6cm long, and the height of the prism is 21 cm. - Empty aquarium

How much does an empty aquarium weigh with dimensions: length = 40 cm, width = 30 cm, height = 20 cm, if 1 dm² of glass weighs 300 g? Calculate its weight in kilograms. - Tetrahedral prism

Calculate the surface and volume of a tetrahedral prism, which has a rhomboid-shaped base, and its dimensions are a = 12 cm, b = 7 cm, ha = 6 cm, and prism height h = 10 cm. - Prism

The prism's base is a rhombus with a side 30 cm and a height 27 cm long. The height of the prism is 180% longer than the side length of the rhombus. Calculate the volume of the prism. - Cross-section 37443

What is the mass of an iron bar 1.5 m long, the cross-section of which is a rhombus with side a = 45 mm and a corresponding height of 40 mm? Iron density ρ = 7.8 g / cm³? What is the surface of the iron rod? - Trapezoidal prism

Calculate the volume of a prism with a trapezoidal base with side a = 6 dm, side c = 4 dm, and height of the prism = 8dm. The height of the trapezoid is va = 3dm. - Cross-section 33541

How many m³ of soil must be moved when digging a straight trench 170 m long, the cross-section of which is an isosceles trapezoid with bases of 150 cm and 80 cm, and arms are 90 cm long? - Trapezoidal 6110

Calculate the volume of a 1.3 dm high pyramid with a trapezoidal base, the bases are 2.3 dm and 1.6 dm long, and its height is 1.8 dm.