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Digital SAT Math – Area and volume – Practice Questions

Digital SAT Math - Area and volume - Practice Questions- New Syllabus

DSAT MAth Practice questions – all topics

  • Geometry and Trigonometry Weightage: 15% Questions: 5-7
    • Area and volume
    • Lines, angles, and triangles
    • Right triangles and trigonometry
    • Circles

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DSAT MAth and English  – full syllabus practice tests

Question Easy

On average, one square inch of human skin contains 650 sweat glands. A certain area of skin contains 1,170 sweat glands. Based on this information, which of the following is closest to the size of this area, in square inches?

A) 0.44

B) 0.56

C) 0.80

D) 1.80

▶️ Answer/Explanation
Solution

Ans: D

Average sweat glands per square inch: 650.

Total sweat glands: 1,170.

Area: \( \frac{1,170}{650} \approx 1.8 \) square inches.

Question Easy

The figure below shows the lengths, in centimeters (cm), of the edges of a right rectangular prism. The volume \( V \) of a right rectangular prism is \( lwh \), where \( l \) is the length of the prism, \( w \) is the width of the prism, and \( h \) is the height of the prism. What is the volume, in cubic centimeters, of the prism?

Right Rectangular Prism

A) 36

B) 24

C) 12

D) 11

▶️ Answer/Explanation
Solution

Ans: A

Length: 6 cm, Width: 2 cm, Height: 3 cm.

Volume: \( 6 \times 2 \times 3 = 36 \) cubic centimeters.

Question Easy

The figure below shows a right triangular prism with the dimensions of its edges in units.

Right Triangular Prism

What is the volume, in cubic units, of the right triangular prism shown?

A) 22

B) 60

C) 180

D) 360

▶️ Answer/Explanation
Solution

Ans: C

Base of triangle: 6 units, Height of triangle: 6 units, Height of prism: 10 units.

Area of triangular base: \( \frac{1}{2} \times 6 \times 6 = 18 \).

Volume: \( 18 \times 10 = 180 \) cubic units.

Question Easy

A triangle has a base length of 40 centimeters and a height of 90 centimeters. What is the area, in square centimeters, of the triangle?

A) 65

B) 900

C) 1800

D) 3600

▶️ Answer/Explanation
Solution

Ans: C

Base: 40 cm, Height: 90 cm.

Area: \( \frac{1}{2} \times 40 \times 90 = 1800 \, \text{cm}^2 \).

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