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Unit test: 20 questions, easy to hard, 2 points each, roomy spacing. Keeps your selected skills.

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Lines & angles

Angle pair equationsHSG.CO.C.9Parallel lines and transversalsHSG.CO.C.9

Triangles & congruence

Triangle angle sum and exterior anglesHSG.CO.C.10Triangle inequality theoremTriangle congruence (SSS, SAS, ASA, AAS, HL)HSG.SRT.B.5Triangle midsegment theoremHSG.CO.C.10

Polygons & quadrilaterals

Interior and exterior angles of polygonsProperties of parallelogramsHSG.CO.C.11Area of regular polygons

Similarity

Similar triangles and scale factorsHSG.SRT.B.5Triangle proportionality (side splitter)HSG.SRT.B.4

Right triangles & trigonometry

Special right triangles (45-45-90 and 30-60-90)HSG.SRT.C.6Trigonometric ratios (sine, cosine, tangent)HSG.SRT.C.6Solving right triangles with trigonometryHSG.SRT.C.8Law of sines and law of cosinesHSG.SRT.D.11

Circles

Arc length and sector areaHSG.C.B.5Inscribed and central anglesHSG.C.A.2Equation of a circleHSG.GPE.A.1Segments of chords, secants and tangentsHSG.C.A.2

Coordinate geometry

Distance and midpoint formulasHSG.GPE.B.7Partitioning a segment in a ratioHSG.GPE.B.6

Surface area & volume

Surface area of prisms, cylinders, cones, pyramids and spheresVolume of pyramids and prismsHSG.GMD.A.3

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1. Volume of pyramids and prisms

Questions

Difficulty

Planned: 12 / 60 questions

12 questionsSign in to download PDFsSettingsShow answers

Name ______________________Date ____________Score ____ / 12

Volume of pyramids and prisms practice

Volume of pyramids and prisms · 1–12

Find the volume or the missing height.

Medium

1.A rectangular pyramid has a base of 2 cm by 12 cm and a height of 15 cm. Find its volume.

Medium

2.A square pyramid has a base side of 8 cm and a height of 15 cm. Find its volume.

Medium

3.A rectangular pyramid has a base of 7 cm by 11 cm and a height of 15 cm. Find its volume.

Medium

4.A rectangular pyramid has a base of 2 cm by 5 cm and a height of 18 cm. Find its volume.

Medium

5.A rectangular pyramid has a base of 4 cm by 5 cm and a height of 12 cm. Find its volume.

Medium

6.A rectangular pyramid has a base of 3 cm by 2 cm and a height of 18 cm. Find its volume.

Medium

7.A square pyramid has a base side of 12 cm and a height of 6 cm. Find its volume.

Medium

8.A rectangular pyramid has a base of 6 cm by 5 cm and a height of 6 cm. Find its volume.

Medium

9.A square pyramid has a base side of 6 cm and a height of 12 cm. Find its volume.

Medium

10.A square pyramid has a base side of 5 cm and a height of 18 cm. Find its volume.

Medium

11.A square pyramid has a base side of 6 cm and a height of 15 cm. Find its volume.

Medium

12.A rectangular pyramid has a base of 6 cm by 12 cm and a height of 12 cm. Find its volume.

Answer key — Volume of pyramids and prisms practice

Volume of pyramids and prisms

1.120 cm³

2.320 cm³

3.385 cm³

4.60 cm³

5.80 cm³

6.36 cm³

7.288 cm³

8.60 cm³

9.144 cm³

10.150 cm³

11.180 cm³

12.288 cm³

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