اختبار إلكتروني: Mathematics Revision Test Grade 6 Unit 9 Term 3
هذا الاختبار مصمم لمراجعة مهارات الطلاب في حساب مساحات السطح والأحجام للمجسمات الهندسية، مع التركيز على المنشور المستطيل والمنشور الثلاثي والهرم المربع. يتضمن الاختبار أسئلة تطبيقية حول كيفية حساب الحجم من خلال ضرب الأبعاد الثلاثة، وإيجاد مساحة السطح من خلال مجموع مساحات الأوجه المختلفة، سواء باستخدام القوانين المباشرة أو من خلال تحليل المخططات الشبكية للمجسمات.
رقم الاختبار1075
الصفالصف السادس
المادةرياضيات
الفصلالفصل الثالث
السنة الدراسية2025-2026
عدد الأسئلة15
إجمالي النقاط15
تاريخ الإضافة2026-04-28
الزيارات47
المعلم أو الناشرMr. Aghead
اختر إجابة واحدة لكل سؤال. عند الاختيار ستظهر النتيجة فورًا: الأخضر صحيح، والأحمر خطأ، وسيظهر تفسير الإجابة مباشرة إن كان متوفرًا. وبعد آخر سؤال ستظهر الدرجة النهائية تلقائيًا.
Question 1
Points: 1
Find the volume of a rectangular prism with a length of 5cm, a width of 3cm, and a height of 4cm.
Explanation
The volume of a rectangular prism is calculated by multiplying its dimensions: \(V = l \times w \times h = 5 \times 3 \times 4 = 60 \text{ cm}^3\).
Question 2
Points: 1
Geneva's younger brother has a toy box shaped like a rectangular prism. The dimensions of the box are 4 ft long, \(2 \frac{1}{2}\) ft wide, and \(1 \frac{1}{2}\) ft high. What is the volume of the toy box?
Explanation
Volume is length \(\times\) width \(\times\) height: \(4 \times 2.5 \times 1.5 = 10 \times 1.5 = 15 \text{ ft}^3\). (Note: There is a typo in the unit of the options which says \(ft^2\) instead of \(ft^3\)).
Question 3
Points: 1
A rectangular prism has a volume of 52 m². If the length of the prism is 6.5m and the height is 2m, what is the width (w) of the prism?
Explanation
Using the volume formula \(V = l \times w \times h\), we have \(52 = 6.5 \times w \times 2\). This simplifies to \(52 = 13w\), so \(w = 52 / 13 = 4 \text{ m}\).
Question 4
Points: 1
What does the term Surface Area of a rectangular prism represent?
Explanation
Surface area is the total area of all the exterior surfaces (faces) that make up the 3D shape.
Question 5
Points: 1
How many faces does a rectangular prism have in total?
Explanation
A rectangular prism (like a box) has 6 faces: top, bottom, and four side faces.
Question 6
Points: 1
Meredith is painting all the surfaces of a wooden block shaped like a cube. Each edge of the block measures 2in. How many square inches does she need to paint?
Explanation
A cube has 6 identical square faces. The area of one face is \(2 \times 2 = 4 \text{ in}^2\). The total surface area is \(6 \times 4 = 24 \text{ in}^2\).
Question 7
Points: 1
A triangular prism has a total surface area of 150 cm², If the area of the two bases combined is 30 cm, what is the lateral area (area of the 3 rectangles)?
Explanation
Total Surface Area = Lateral Area + Base Area. Given \(150 = \text{Lateral Area} + 30\), then \(\text{Lateral Area} = 150 - 30 = 120 \text{ cm}^2\).
Question 8
Points: 1
Find the total surface area of a triangular prism with a prism height of 7 ft. The triangular base of the prism has a height of 3ft, a base of 2.6ft, and a third side (hypotenuse) of 4ft.
Explanation
Base area = \(\frac{1}{2} \times 2.6 \times 3 = 3.9\). Area of two bases = \(7.8\). Lateral area = perimeter of base \(\times\) prism height = \((3 + 2.6 + 4) \times 7 = 9.6 \times 7 = 67.2\). Total Surface Area = \(67.2 + 7.8 = 75.0 \text{ ft}^2\).
Question 9
Points: 1
A tent is shaped like a triangular prism with the following dimensions: the triangular base has a width of 2yd and a height of 1. yd, and the two slanted sides are 2yd long. The length of the tent is 3yd. If the canvas fabric costs 4.99$ per square yard, how much will it cost to make the tent?
Explanation
Assuming the tent fabric only covers the lateral sides (3 rectangular faces each with area \(2 \times 3 = 6\)), the lateral area is \(3 \times 6 = 18\). Cost = \(18 \times 4.99 = 89.82$\).
Question 10
Points: 1
How many lateral faces does a square pyramid have?
Explanation
A square pyramid consists of one square base and four triangular lateral faces that meet at the top point.
Question 11
Points: 1
Mr. Potter makes two types of wooden square pyramid puzzles. Puzzle 1: Base side length is 5 in and slant height is 7 in. Puzzle 2: Base side length is 6 in and slant height is 4in. If the cost of materials is 0.16$ per square inch, what is the difference in cost to make the two puzzles?
Which of the following statements correctly describes the net of a rectangular prism with a length of 9 inches, a width of 4 inches, and a height of 11 inches?
Explanation
A complete net for a rectangular prism consists of 6 rectangles. Specifically, there are 3 pairs of rectangles: \(9 \times 4\), \(9 \times 11\), and \(4 \times 11\). Choice B is the only accurate description.
Question 14
Points: 1
What is the volume of the prism, shown in the image below?
Explanation
Based on the image labels, the dimensions are 9, 1.5, and 2.8. Volume \(V = 9 \times 1.5 \times 2.8 = 37.8 \text{ ft}^3\).
Question 15
Points: 1
Use the provided net to find the total surface area of the rectangular prism shown in the image.
Explanation
From the net, dimensions are 8 cm, 4 cm, and 5 cm. Total Surface Area = \(2 \times (8 \times 4 + 8 \times 5 + 4 \times 5) = 2 \times (32 + 40 + 20) = 2 \times 92 = 184 \text{ cm}^2\).
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